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Finding the Fourth Proportional to 471.14, 706.85 and 146.53

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Solution

The fourth proportional to 471.14, 706.85 and 146.53 is: 219.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    471.14 : 706.85 = 146.53 : x
  2. Step 2: Convert to fraction form
    471.14/706.85 = 146.53/x
  3. Step 3: Cross multiply
    471.14x = 706.85 × 146.53
  4. Step 4: Simplify right side
    471.14x = 103,574.73
  5. Step 5: Solve for x
    x = 103,574.73/471.14
  6. Step 6: Final answer
    x = 219.84

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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.