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Finding the Fourth Proportional to 178.11, 245.77 and 99.42

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Solution

The fourth proportional to 178.11, 245.77 and 99.42 is: 137.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    178.11 : 245.77 = 99.42 : x
  2. Step 2: Convert to fraction form
    178.11/245.77 = 99.42/x
  3. Step 3: Cross multiply
    178.11x = 245.77 × 99.42
  4. Step 4: Simplify right side
    178.11x = 24,433.96
  5. Step 5: Solve for x
    x = 24,433.96/178.11
  6. Step 6: Final answer
    x = 137.19

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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.