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Finding the Fourth Proportional to 178.47, 246.02 and 112.95

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Solution

The fourth proportional to 178.47, 246.02 and 112.95 is: 155.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    178.47 : 246.02 = 112.95 : x
  2. Step 2: Convert to fraction form
    178.47/246.02 = 112.95/x
  3. Step 3: Cross multiply
    178.47x = 246.02 × 112.95
  4. Step 4: Simplify right side
    178.47x = 27,787.39
  5. Step 5: Solve for x
    x = 27,787.39/178.47
  6. Step 6: Final answer
    x = 155.70

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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.