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Finding the Fourth Proportional to 178.11, 245.97 and 147.13

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Solution

The fourth proportional to 178.11, 245.97 and 147.13 is: 203.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    178.11 : 245.97 = 147.13 : x
  2. Step 2: Convert to fraction form
    178.11/245.97 = 147.13/x
  3. Step 3: Cross multiply
    178.11x = 245.97 × 147.13
  4. Step 4: Simplify right side
    178.11x = 36,189.57
  5. Step 5: Solve for x
    x = 36,189.57/178.11
  6. Step 6: Final answer
    x = 203.19

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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.