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Finding the Fourth Proportional to 611.01, 916.26 and 200.04

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Solution

The fourth proportional to 611.01, 916.26 and 200.04 is: 299.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    611.01 : 916.26 = 200.04 : x
  2. Step 2: Convert to fraction form
    611.01/916.26 = 200.04/x
  3. Step 3: Cross multiply
    611.01x = 916.26 × 200.04
  4. Step 4: Simplify right side
    611.01x = 183,288.65
  5. Step 5: Solve for x
    x = 183,288.65/611.01
  6. Step 6: Final answer
    x = 299.98

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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.