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Finding the Fourth Proportional to 471.15, 706.80 and 146.57

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Solution

The fourth proportional to 471.15, 706.80 and 146.57 is: 219.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    471.15 : 706.80 = 146.57 : x
  2. Step 2: Convert to fraction form
    471.15/706.80 = 146.57/x
  3. Step 3: Cross multiply
    471.15x = 706.80 × 146.57
  4. Step 4: Simplify right side
    471.15x = 103,592.14
  5. Step 5: Solve for x
    x = 103,592.14/471.15
  6. Step 6: Final answer
    x = 219.87

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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.