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Finding the Fourth Proportional to 611.25, 916.95 and 200.27

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Solution

The fourth proportional to 611.25, 916.95 and 200.27 is: 300.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    611.25 : 916.95 = 200.27 : x
  2. Step 2: Convert to fraction form
    611.25/916.95 = 200.27/x
  3. Step 3: Cross multiply
    611.25x = 916.95 × 200.27
  4. Step 4: Simplify right side
    611.25x = 183,639.49
  5. Step 5: Solve for x
    x = 183,639.49/611.25
  6. Step 6: Final answer
    x = 300.43

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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.