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Finding the Fourth Proportional to 180.71, 249.39 and 107.02

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Solution

The fourth proportional to 180.71, 249.39 and 107.02 is: 147.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    180.71 : 249.39 = 107.02 : x
  2. Step 2: Convert to fraction form
    180.71/249.39 = 107.02/x
  3. Step 3: Cross multiply
    180.71x = 249.39 × 107.02
  4. Step 4: Simplify right side
    180.71x = 26,689.72
  5. Step 5: Solve for x
    x = 26,689.72/180.71
  6. Step 6: Final answer
    x = 147.69

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.