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Finding the Fourth Proportional to 245.41, 338.68 and 147.20

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Solution

The fourth proportional to 245.41, 338.68 and 147.20 is: 203.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    245.41 : 338.68 = 147.20 : x
  2. Step 2: Convert to fraction form
    245.41/338.68 = 147.20/x
  3. Step 3: Cross multiply
    245.41x = 338.68 × 147.20
  4. Step 4: Simplify right side
    245.41x = 49,854.09
  5. Step 5: Solve for x
    x = 49,854.09/245.41
  6. Step 6: Final answer
    x = 203.14

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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.