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Finding the Fourth Proportional to 178.97, 247.14 and 135.23

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Solution

The fourth proportional to 178.97, 247.14 and 135.23 is: 186.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    178.97 : 247.14 = 135.23 : x
  2. Step 2: Convert to fraction form
    178.97/247.14 = 135.23/x
  3. Step 3: Cross multiply
    178.97x = 247.14 × 135.23
  4. Step 4: Simplify right side
    178.97x = 33,420.74
  5. Step 5: Solve for x
    x = 33,420.74/178.97
  6. Step 6: Final answer
    x = 186.74

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.