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Finding the Fourth Proportional to 259.13, 357.60 and 142.70

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Solution

The fourth proportional to 259.13, 357.60 and 142.70 is: 196.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    259.13 : 357.60 = 142.70 : x
  2. Step 2: Convert to fraction form
    259.13/357.60 = 142.70/x
  3. Step 3: Cross multiply
    259.13x = 357.60 × 142.70
  4. Step 4: Simplify right side
    259.13x = 51,027.73
  5. Step 5: Solve for x
    x = 51,027.73/259.13
  6. Step 6: Final answer
    x = 196.92

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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.