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Finding the Fourth Proportional to 178.80, 268.14 and 118.32

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Solution

The fourth proportional to 178.80, 268.14 and 118.32 is: 177.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    178.80 : 268.14 = 118.32 : x
  2. Step 2: Convert to fraction form
    178.80/268.14 = 118.32/x
  3. Step 3: Cross multiply
    178.80x = 268.14 × 118.32
  4. Step 4: Simplify right side
    178.80x = 31,726.32
  5. Step 5: Solve for x
    x = 31,726.32/178.80
  6. Step 6: Final answer
    x = 177.44

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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.