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Finding the Fourth Proportional to 180.35, 248.87 and 106.70

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Solution

The fourth proportional to 180.35, 248.87 and 106.70 is: 147.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    180.35 : 248.87 = 106.70 : x
  2. Step 2: Convert to fraction form
    180.35/248.87 = 106.70/x
  3. Step 3: Cross multiply
    180.35x = 248.87 × 106.70
  4. Step 4: Simplify right side
    180.35x = 26,554.43
  5. Step 5: Solve for x
    x = 26,554.43/180.35
  6. Step 6: Final answer
    x = 147.24

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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.