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Finding the Fourth Proportional to 296.78, 445.07 and 101.73

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Solution

The fourth proportional to 296.78, 445.07 and 101.73 is: 152.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    296.78 : 445.07 = 101.73 : x
  2. Step 2: Convert to fraction form
    296.78/445.07 = 101.73/x
  3. Step 3: Cross multiply
    296.78x = 445.07 × 101.73
  4. Step 4: Simplify right side
    296.78x = 45,276.97
  5. Step 5: Solve for x
    x = 45,276.97/296.78
  6. Step 6: Final answer
    x = 152.56

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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.