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Finding the Fourth Proportional to 191.50, 264.30 and 113.86

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Solution

The fourth proportional to 191.50, 264.30 and 113.86 is: 157.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    191.50 : 264.30 = 113.86 : x
  2. Step 2: Convert to fraction form
    191.50/264.30 = 113.86/x
  3. Step 3: Cross multiply
    191.50x = 264.30 × 113.86
  4. Step 4: Simplify right side
    191.50x = 30,093.20
  5. Step 5: Solve for x
    x = 30,093.20/191.50
  6. Step 6: Final answer
    x = 157.14

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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.