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Finding the Fourth Proportional to 191.17, 263.73 and 113.50

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Solution

The fourth proportional to 191.17, 263.73 and 113.50 is: 156.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    191.17 : 263.73 = 113.50 : x
  2. Step 2: Convert to fraction form
    191.17/263.73 = 113.50/x
  3. Step 3: Cross multiply
    191.17x = 263.73 × 113.50
  4. Step 4: Simplify right side
    191.17x = 29,933.36
  5. Step 5: Solve for x
    x = 29,933.36/191.17
  6. Step 6: Final answer
    x = 156.58

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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.