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Finding the Fourth Proportional to 250.26, 374.43 and 147.63

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Solution

The fourth proportional to 250.26, 374.43 and 147.63 is: 220.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    250.26 : 374.43 = 147.63 : x
  2. Step 2: Convert to fraction form
    250.26/374.43 = 147.63/x
  3. Step 3: Cross multiply
    250.26x = 374.43 × 147.63
  4. Step 4: Simplify right side
    250.26x = 55,277.10
  5. Step 5: Solve for x
    x = 55,277.10/250.26
  6. Step 6: Final answer
    x = 220.88

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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.