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Finding the Fourth Proportional to 471.32, 706.08 and 178.64

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Solution

The fourth proportional to 471.32, 706.08 and 178.64 is: 267.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    471.32 : 706.08 = 178.64 : x
  2. Step 2: Convert to fraction form
    471.32/706.08 = 178.64/x
  3. Step 3: Cross multiply
    471.32x = 706.08 × 178.64
  4. Step 4: Simplify right side
    471.32x = 126,133.92
  5. Step 5: Solve for x
    x = 126,133.92/471.32
  6. Step 6: Final answer
    x = 267.62

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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.