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Finding the Fourth Proportional to 180.52, 271.02 and 155.08

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Solution

The fourth proportional to 180.52, 271.02 and 155.08 is: 232.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    180.52 : 271.02 = 155.08 : x
  2. Step 2: Convert to fraction form
    180.52/271.02 = 155.08/x
  3. Step 3: Cross multiply
    180.52x = 271.02 × 155.08
  4. Step 4: Simplify right side
    180.52x = 42,029.78
  5. Step 5: Solve for x
    x = 42,029.78/180.52
  6. Step 6: Final answer
    x = 232.83

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.