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Finding the Fourth Proportional to 296.08, 444.15 and 180.47

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Solution

The fourth proportional to 296.08, 444.15 and 180.47 is: 270.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    296.08 : 444.15 = 180.47 : x
  2. Step 2: Convert to fraction form
    296.08/444.15 = 180.47/x
  3. Step 3: Cross multiply
    296.08x = 444.15 × 180.47
  4. Step 4: Simplify right side
    296.08x = 80,152.98
  5. Step 5: Solve for x
    x = 80,152.98/296.08
  6. Step 6: Final answer
    x = 270.71

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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.