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Finding the Fourth Proportional to 256.47, 354.05 and 173.62

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Solution

The fourth proportional to 256.47, 354.05 and 173.62 is: 239.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    256.47 : 354.05 = 173.62 : x
  2. Step 2: Convert to fraction form
    256.47/354.05 = 173.62/x
  3. Step 3: Cross multiply
    256.47x = 354.05 × 173.62
  4. Step 4: Simplify right side
    256.47x = 61,470.16
  5. Step 5: Solve for x
    x = 61,470.16/256.47
  6. Step 6: Final answer
    x = 239.68

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