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Finding the Fourth Proportional to 180.32, 248.85 and 110.39

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Solution

The fourth proportional to 180.32, 248.85 and 110.39 is: 152.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    180.32 : 248.85 = 110.39 : x
  2. Step 2: Convert to fraction form
    180.32/248.85 = 110.39/x
  3. Step 3: Cross multiply
    180.32x = 248.85 × 110.39
  4. Step 4: Simplify right side
    180.32x = 27,470.55
  5. Step 5: Solve for x
    x = 27,470.55/180.32
  6. Step 6: Final answer
    x = 152.34

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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.