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Finding the Fourth Proportional to 178.35, 246.14 and 112.87

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Solution

The fourth proportional to 178.35, 246.14 and 112.87 is: 155.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    178.35 : 246.14 = 112.87 : x
  2. Step 2: Convert to fraction form
    178.35/246.14 = 112.87/x
  3. Step 3: Cross multiply
    178.35x = 246.14 × 112.87
  4. Step 4: Simplify right side
    178.35x = 27,781.82
  5. Step 5: Solve for x
    x = 27,781.82/178.35
  6. Step 6: Final answer
    x = 155.77

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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.