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Finding the Fourth Proportional to 259.92, 358.66 and 143.48

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Solution

The fourth proportional to 259.92, 358.66 and 143.48 is: 197.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    259.92 : 358.66 = 143.48 : x
  2. Step 2: Convert to fraction form
    259.92/358.66 = 143.48/x
  3. Step 3: Cross multiply
    259.92x = 358.66 × 143.48
  4. Step 4: Simplify right side
    259.92x = 51,460.54
  5. Step 5: Solve for x
    x = 51,460.54/259.92
  6. Step 6: Final answer
    x = 197.99

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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.