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Finding the Fourth Proportional to 471.49, 707.28 and 146.88

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Solution

The fourth proportional to 471.49, 707.28 and 146.88 is: 220.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    471.49 : 707.28 = 146.88 : x
  2. Step 2: Convert to fraction form
    471.49/707.28 = 146.88/x
  3. Step 3: Cross multiply
    471.49x = 707.28 × 146.88
  4. Step 4: Simplify right side
    471.49x = 103,885.29
  5. Step 5: Solve for x
    x = 103,885.29/471.49
  6. Step 6: Final answer
    x = 220.33

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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.