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Finding the Fourth Proportional to 245.52, 338.78 and 140.59

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Solution

The fourth proportional to 245.52, 338.78 and 140.59 is: 193.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    245.52 : 338.78 = 140.59 : x
  2. Step 2: Convert to fraction form
    245.52/338.78 = 140.59/x
  3. Step 3: Cross multiply
    245.52x = 338.78 × 140.59
  4. Step 4: Simplify right side
    245.52x = 47,628.31
  5. Step 5: Solve for x
    x = 47,628.31/245.52
  6. Step 6: Final answer
    x = 193.99

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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.