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Finding the Fourth Proportional to 245.28, 338.40 and 146.96

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Solution

The fourth proportional to 245.28, 338.40 and 146.96 is: 202.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    245.28 : 338.40 = 146.96 : x
  2. Step 2: Convert to fraction form
    245.28/338.40 = 146.96/x
  3. Step 3: Cross multiply
    245.28x = 338.40 × 146.96
  4. Step 4: Simplify right side
    245.28x = 49,731.26
  5. Step 5: Solve for x
    x = 49,731.26/245.28
  6. Step 6: Final answer
    x = 202.75

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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.