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Finding the Fourth Proportional to 315.72, 472.71 and 178.56

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Solution

The fourth proportional to 315.72, 472.71 and 178.56 is: 267.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    315.72 : 472.71 = 178.56 : x
  2. Step 2: Convert to fraction form
    315.72/472.71 = 178.56/x
  3. Step 3: Cross multiply
    315.72x = 472.71 × 178.56
  4. Step 4: Simplify right side
    315.72x = 84,407.10
  5. Step 5: Solve for x
    x = 84,407.10/315.72
  6. Step 6: Final answer
    x = 267.35

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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.