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Finding the Fourth Proportional to 250.14, 374.29 and 147.47

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Solution

The fourth proportional to 250.14, 374.29 and 147.47 is: 220.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    250.14 : 374.29 = 147.47 : x
  2. Step 2: Convert to fraction form
    250.14/374.29 = 147.47/x
  3. Step 3: Cross multiply
    250.14x = 374.29 × 147.47
  4. Step 4: Simplify right side
    250.14x = 55,193.94
  5. Step 5: Solve for x
    x = 55,193.94/250.14
  6. Step 6: Final answer
    x = 220.66

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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.