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Finding the Fourth Proportional to 180.86, 271.07 and 135.09

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Solution

The fourth proportional to 180.86, 271.07 and 135.09 is: 202.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    180.86 : 271.07 = 135.09 : x
  2. Step 2: Convert to fraction form
    180.86/271.07 = 135.09/x
  3. Step 3: Cross multiply
    180.86x = 271.07 × 135.09
  4. Step 4: Simplify right side
    180.86x = 36,618.17
  5. Step 5: Solve for x
    x = 36,618.17/180.86
  6. Step 6: Final answer
    x = 202.47

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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.