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Finding the Fourth Proportional to 180.68, 249.28 and 110.72

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Solution

The fourth proportional to 180.68, 249.28 and 110.72 is: 152.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    180.68 : 249.28 = 110.72 : x
  2. Step 2: Convert to fraction form
    180.68/249.28 = 110.72/x
  3. Step 3: Cross multiply
    180.68x = 249.28 × 110.72
  4. Step 4: Simplify right side
    180.68x = 27,600.63
  5. Step 5: Solve for x
    x = 27,600.63/180.68
  6. Step 6: Final answer
    x = 152.76

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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.