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Finding the Fourth Proportional to 472.31, 708.47 and 164.17

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Solution

The fourth proportional to 472.31, 708.47 and 164.17 is: 246.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    472.31 : 708.47 = 164.17 : x
  2. Step 2: Convert to fraction form
    472.31/708.47 = 164.17/x
  3. Step 3: Cross multiply
    472.31x = 708.47 × 164.17
  4. Step 4: Simplify right side
    472.31x = 116,310.61
  5. Step 5: Solve for x
    x = 116,310.61/472.31
  6. Step 6: Final answer
    x = 246.26

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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.