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Finding the Fourth Proportional to 191.17, 263.72 and 117.46

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Solution

The fourth proportional to 191.17, 263.72 and 117.46 is: 162.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    191.17 : 263.72 = 117.46 : x
  2. Step 2: Convert to fraction form
    191.17/263.72 = 117.46/x
  3. Step 3: Cross multiply
    191.17x = 263.72 × 117.46
  4. Step 4: Simplify right side
    191.17x = 30,975.69
  5. Step 5: Solve for x
    x = 30,975.69/191.17
  6. Step 6: Final answer
    x = 162.04

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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.