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Finding the Fourth Proportional to 283.55, 391.31 and 159.23

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Solution

The fourth proportional to 283.55, 391.31 and 159.23 is: 219.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    283.55 : 391.31 = 159.23 : x
  2. Step 2: Convert to fraction form
    283.55/391.31 = 159.23/x
  3. Step 3: Cross multiply
    283.55x = 391.31 × 159.23
  4. Step 4: Simplify right side
    283.55x = 62,307.50
  5. Step 5: Solve for x
    x = 62,307.50/283.55
  6. Step 6: Final answer
    x = 219.74

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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.