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Finding the Fourth Proportional to 180.25, 248.74 and 106.57

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Solution

The fourth proportional to 180.25, 248.74 and 106.57 is: 147.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    180.25 : 248.74 = 106.57 : x
  2. Step 2: Convert to fraction form
    180.25/248.74 = 106.57/x
  3. Step 3: Cross multiply
    180.25x = 248.74 × 106.57
  4. Step 4: Simplify right side
    180.25x = 26,508.27
  5. Step 5: Solve for x
    x = 26,508.27/180.25
  6. Step 6: Final answer
    x = 147.07

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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.