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Finding the Fourth Proportional to 180.43, 248.91 and 106.71

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Solution

The fourth proportional to 180.43, 248.91 and 106.71 is: 147.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    180.43 : 248.91 = 106.71 : x
  2. Step 2: Convert to fraction form
    180.43/248.91 = 106.71/x
  3. Step 3: Cross multiply
    180.43x = 248.91 × 106.71
  4. Step 4: Simplify right side
    180.43x = 26,561.19
  5. Step 5: Solve for x
    x = 26,561.19/180.43
  6. Step 6: Final answer
    x = 147.21

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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.