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Finding the Fourth Proportional to 191.85, 287.46 and 130.02

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Solution

The fourth proportional to 191.85, 287.46 and 130.02 is: 194.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    191.85 : 287.46 = 130.02 : x
  2. Step 2: Convert to fraction form
    191.85/287.46 = 130.02/x
  3. Step 3: Cross multiply
    191.85x = 287.46 × 130.02
  4. Step 4: Simplify right side
    191.85x = 37,375.55
  5. Step 5: Solve for x
    x = 37,375.55/191.85
  6. Step 6: Final answer
    x = 194.82

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.