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Finding the Fourth Proportional to 283.98, 391.71 and 179.10

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Solution

The fourth proportional to 283.98, 391.71 and 179.10 is: 247.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    283.98 : 391.71 = 179.10 : x
  2. Step 2: Convert to fraction form
    283.98/391.71 = 179.10/x
  3. Step 3: Cross multiply
    283.98x = 391.71 × 179.10
  4. Step 4: Simplify right side
    283.98x = 70,155.26
  5. Step 5: Solve for x
    x = 70,155.26/283.98
  6. Step 6: Final answer
    x = 247.04

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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.