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Finding the Fourth Proportional to 245.13, 338.28 and 141.63

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Solution

The fourth proportional to 245.13, 338.28 and 141.63 is: 195.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    245.13 : 338.28 = 141.63 : x
  2. Step 2: Convert to fraction form
    245.13/338.28 = 141.63/x
  3. Step 3: Cross multiply
    245.13x = 338.28 × 141.63
  4. Step 4: Simplify right side
    245.13x = 47,908.20
  5. Step 5: Solve for x
    x = 47,908.20/245.13
  6. Step 6: Final answer
    x = 195.44

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.