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Finding the Fourth Proportional to 283.41, 391.10 and 159.06

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Solution

The fourth proportional to 283.41, 391.10 and 159.06 is: 219.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    283.41 : 391.10 = 159.06 : x
  2. Step 2: Convert to fraction form
    283.41/391.10 = 159.06/x
  3. Step 3: Cross multiply
    283.41x = 391.10 × 159.06
  4. Step 4: Simplify right side
    283.41x = 62,209.71
  5. Step 5: Solve for x
    x = 62,209.71/283.41
  6. Step 6: Final answer
    x = 219.51

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.