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Finding the Fourth Proportional to 245.27, 338.47 and 147.02

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Solution

The fourth proportional to 245.27, 338.47 and 147.02 is: 202.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    245.27 : 338.47 = 147.02 : x
  2. Step 2: Convert to fraction form
    245.27/338.47 = 147.02/x
  3. Step 3: Cross multiply
    245.27x = 338.47 × 147.02
  4. Step 4: Simplify right side
    245.27x = 49,763.07
  5. Step 5: Solve for x
    x = 49,763.07/245.27
  6. Step 6: Final answer
    x = 202.89

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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.