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Finding the Fourth Proportional to 178.78, 246.71 and 100.10

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Solution

The fourth proportional to 178.78, 246.71 and 100.10 is: 138.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    178.78 : 246.71 = 100.10 : x
  2. Step 2: Convert to fraction form
    178.78/246.71 = 100.10/x
  3. Step 3: Cross multiply
    178.78x = 246.71 × 100.10
  4. Step 4: Simplify right side
    178.78x = 24,695.67
  5. Step 5: Solve for x
    x = 24,695.67/178.78
  6. Step 6: Final answer
    x = 138.13

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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.