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Finding the Fourth Proportional to 245.26, 338.40 and 147.06

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Solution

The fourth proportional to 245.26, 338.40 and 147.06 is: 202.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    245.26 : 338.40 = 147.06 : x
  2. Step 2: Convert to fraction form
    245.26/338.40 = 147.06/x
  3. Step 3: Cross multiply
    245.26x = 338.40 × 147.06
  4. Step 4: Simplify right side
    245.26x = 49,765.10
  5. Step 5: Solve for x
    x = 49,765.10/245.26
  6. Step 6: Final answer
    x = 202.91

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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.