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Finding the Fourth Proportional to 180.38, 248.94 and 106.70

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Solution

The fourth proportional to 180.38, 248.94 and 106.70 is: 147.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    180.38 : 248.94 = 106.70 : x
  2. Step 2: Convert to fraction form
    180.38/248.94 = 106.70/x
  3. Step 3: Cross multiply
    180.38x = 248.94 × 106.70
  4. Step 4: Simplify right side
    180.38x = 26,561.90
  5. Step 5: Solve for x
    x = 26,561.90/180.38
  6. Step 6: Final answer
    x = 147.26

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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.