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Finding the Fourth Proportional to 245.31, 338.57 and 147.07

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Solution

The fourth proportional to 245.31, 338.57 and 147.07 is: 202.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    245.31 : 338.57 = 147.07 : x
  2. Step 2: Convert to fraction form
    245.31/338.57 = 147.07/x
  3. Step 3: Cross multiply
    245.31x = 338.57 × 147.07
  4. Step 4: Simplify right side
    245.31x = 49,793.49
  5. Step 5: Solve for x
    x = 49,793.49/245.31
  6. Step 6: Final answer
    x = 202.98

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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.