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Finding the Fourth Proportional to 180.64, 249.20 and 106.93

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Solution

The fourth proportional to 180.64, 249.20 and 106.93 is: 147.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    180.64 : 249.20 = 106.93 : x
  2. Step 2: Convert to fraction form
    180.64/249.20 = 106.93/x
  3. Step 3: Cross multiply
    180.64x = 249.20 × 106.93
  4. Step 4: Simplify right side
    180.64x = 26,646.42
  5. Step 5: Solve for x
    x = 26,646.42/180.64
  6. Step 6: Final answer
    x = 147.51

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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.