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Finding the Fourth Proportional to 245.48, 338.63 and 147.17

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Solution

The fourth proportional to 245.48, 338.63 and 147.17 is: 203.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    245.48 : 338.63 = 147.17 : x
  2. Step 2: Convert to fraction form
    245.48/338.63 = 147.17/x
  3. Step 3: Cross multiply
    245.48x = 338.63 × 147.17
  4. Step 4: Simplify right side
    245.48x = 49,836.29
  5. Step 5: Solve for x
    x = 49,836.29/245.48
  6. Step 6: Final answer
    x = 203.02

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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.