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Finding the Fourth Proportional to 315.29, 472.64 and 178.30

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Solution

The fourth proportional to 315.29, 472.64 and 178.30 is: 267.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    315.29 : 472.64 = 178.30 : x
  2. Step 2: Convert to fraction form
    315.29/472.64 = 178.30/x
  3. Step 3: Cross multiply
    315.29x = 472.64 × 178.30
  4. Step 4: Simplify right side
    315.29x = 84,271.41
  5. Step 5: Solve for x
    x = 84,271.41/315.29
  6. Step 6: Final answer
    x = 267.28

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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.