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Finding the Fourth Proportional to 283.65, 391.43 and 159.32

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Solution

The fourth proportional to 283.65, 391.43 and 159.32 is: 219.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    283.65 : 391.43 = 159.32 : x
  2. Step 2: Convert to fraction form
    283.65/391.43 = 159.32/x
  3. Step 3: Cross multiply
    283.65x = 391.43 × 159.32
  4. Step 4: Simplify right side
    283.65x = 62,359.87
  5. Step 5: Solve for x
    x = 62,359.87/283.65
  6. Step 6: Final answer
    x = 219.85

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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.