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Finding the Fourth Proportional to 296.60, 444.38 and 180.69

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Solution

The fourth proportional to 296.60, 444.38 and 180.69 is: 270.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    296.60 : 444.38 = 180.69 : x
  2. Step 2: Convert to fraction form
    296.60/444.38 = 180.69/x
  3. Step 3: Cross multiply
    296.60x = 444.38 × 180.69
  4. Step 4: Simplify right side
    296.60x = 80,295.02
  5. Step 5: Solve for x
    x = 80,295.02/296.60
  6. Step 6: Final answer
    x = 270.72

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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.