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Finding the Fourth Proportional to 180.12, 269.20 and 145.52

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Solution

The fourth proportional to 180.12, 269.20 and 145.52 is: 217.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    180.12 : 269.20 = 145.52 : x
  2. Step 2: Convert to fraction form
    180.12/269.20 = 145.52/x
  3. Step 3: Cross multiply
    180.12x = 269.20 × 145.52
  4. Step 4: Simplify right side
    180.12x = 39,173.98
  5. Step 5: Solve for x
    x = 39,173.98/180.12
  6. Step 6: Final answer
    x = 217.49

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.