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Finding the Fourth Proportional to 477.16, 715.68 and 135.16

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Solution

The fourth proportional to 477.16, 715.68 and 135.16 is: 202.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    477.16 : 715.68 = 135.16 : x
  2. Step 2: Convert to fraction form
    477.16/715.68 = 135.16/x
  3. Step 3: Cross multiply
    477.16x = 715.68 × 135.16
  4. Step 4: Simplify right side
    477.16x = 96,731.31
  5. Step 5: Solve for x
    x = 96,731.31/477.16
  6. Step 6: Final answer
    x = 202.72

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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.