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Finding the Fourth Proportional to 178.81, 246.73 and 101.19

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Solution

The fourth proportional to 178.81, 246.73 and 101.19 is: 139.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    178.81 : 246.73 = 101.19 : x
  2. Step 2: Convert to fraction form
    178.81/246.73 = 101.19/x
  3. Step 3: Cross multiply
    178.81x = 246.73 × 101.19
  4. Step 4: Simplify right side
    178.81x = 24,966.61
  5. Step 5: Solve for x
    x = 24,966.61/178.81
  6. Step 6: Final answer
    x = 139.63

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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.