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Finding the Fourth Proportional to 259.87, 358.65 and 143.47

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Solution

The fourth proportional to 259.87, 358.65 and 143.47 is: 198.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    259.87 : 358.65 = 143.47 : x
  2. Step 2: Convert to fraction form
    259.87/358.65 = 143.47/x
  3. Step 3: Cross multiply
    259.87x = 358.65 × 143.47
  4. Step 4: Simplify right side
    259.87x = 51,454.80
  5. Step 5: Solve for x
    x = 51,454.80/259.87
  6. Step 6: Final answer
    x = 198.00

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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.