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Finding the Fourth Proportional to 471.40, 707.16 and 178.88

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Solution

The fourth proportional to 471.40, 707.16 and 178.88 is: 268.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    471.40 : 707.16 = 178.88 : x
  2. Step 2: Convert to fraction form
    471.40/707.16 = 178.88/x
  3. Step 3: Cross multiply
    471.40x = 707.16 × 178.88
  4. Step 4: Simplify right side
    471.40x = 126,496.78
  5. Step 5: Solve for x
    x = 126,496.78/471.40
  6. Step 6: Final answer
    x = 268.34

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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.