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Finding the Fourth Proportional to 611.65, 916.83 and 200.68

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Solution

The fourth proportional to 611.65, 916.83 and 200.68 is: 300.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    611.65 : 916.83 = 200.68 : x
  2. Step 2: Convert to fraction form
    611.65/916.83 = 200.68/x
  3. Step 3: Cross multiply
    611.65x = 916.83 × 200.68
  4. Step 4: Simplify right side
    611.65x = 183,983.86
  5. Step 5: Solve for x
    x = 183,983.86/611.65
  6. Step 6: Final answer
    x = 300.80

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.