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Finding the Fourth Proportional to 180.01, 269.91 and 155.91

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Solution

The fourth proportional to 180.01, 269.91 and 155.91 is: 233.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    180.01 : 269.91 = 155.91 : x
  2. Step 2: Convert to fraction form
    180.01/269.91 = 155.91/x
  3. Step 3: Cross multiply
    180.01x = 269.91 × 155.91
  4. Step 4: Simplify right side
    180.01x = 42,081.67
  5. Step 5: Solve for x
    x = 42,081.67/180.01
  6. Step 6: Final answer
    x = 233.78

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