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Finding the Fourth Proportional to 178.19, 245.90 and 100.57

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Solution

The fourth proportional to 178.19, 245.90 and 100.57 is: 138.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    178.19 : 245.90 = 100.57 : x
  2. Step 2: Convert to fraction form
    178.19/245.90 = 100.57/x
  3. Step 3: Cross multiply
    178.19x = 245.90 × 100.57
  4. Step 4: Simplify right side
    178.19x = 24,728.93
  5. Step 5: Solve for x
    x = 24,728.93/178.19
  6. Step 6: Final answer
    x = 138.78

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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.