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Finding the Fourth Proportional to 315.60, 472.96 and 171.44

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Solution

The fourth proportional to 315.60, 472.96 and 171.44 is: 256.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    315.60 : 472.96 = 171.44 : x
  2. Step 2: Convert to fraction form
    315.60/472.96 = 171.44/x
  3. Step 3: Cross multiply
    315.60x = 472.96 × 171.44
  4. Step 4: Simplify right side
    315.60x = 81,084.26
  5. Step 5: Solve for x
    x = 81,084.26/315.60
  6. Step 6: Final answer
    x = 256.92

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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.