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Finding the Fourth Proportional to 180.29, 248.69 and 106.61

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Solution

The fourth proportional to 180.29, 248.69 and 106.61 is: 147.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    180.29 : 248.69 = 106.61 : x
  2. Step 2: Convert to fraction form
    180.29/248.69 = 106.61/x
  3. Step 3: Cross multiply
    180.29x = 248.69 × 106.61
  4. Step 4: Simplify right side
    180.29x = 26,511.06
  5. Step 5: Solve for x
    x = 26,511.06/180.29
  6. Step 6: Final answer
    x = 147.05

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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.