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Finding the Fourth Proportional to 178.59, 246.31 and 141.84

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Solution

The fourth proportional to 178.59, 246.31 and 141.84 is: 195.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    178.59 : 246.31 = 141.84 : x
  2. Step 2: Convert to fraction form
    178.59/246.31 = 141.84/x
  3. Step 3: Cross multiply
    178.59x = 246.31 × 141.84
  4. Step 4: Simplify right side
    178.59x = 34,936.61
  5. Step 5: Solve for x
    x = 34,936.61/178.59
  6. Step 6: Final answer
    x = 195.62

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Why These Related Problems?

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