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Finding the Fourth Proportional to 308.16, 424.71 and 225.14

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Solution

The fourth proportional to 308.16, 424.71 and 225.14 is: 310.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    308.16 : 424.71 = 225.14 : x
  2. Step 2: Convert to fraction form
    308.16/424.71 = 225.14/x
  3. Step 3: Cross multiply
    308.16x = 424.71 × 225.14
  4. Step 4: Simplify right side
    308.16x = 95,617.09
  5. Step 5: Solve for x
    x = 95,617.09/308.16
  6. Step 6: Final answer
    x = 310.28

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.