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Finding the Fourth Proportional to 191.45, 264.17 and 117.83

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Solution

The fourth proportional to 191.45, 264.17 and 117.83 is: 162.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    191.45 : 264.17 = 117.83 : x
  2. Step 2: Convert to fraction form
    191.45/264.17 = 117.83/x
  3. Step 3: Cross multiply
    191.45x = 264.17 × 117.83
  4. Step 4: Simplify right side
    191.45x = 31,126.56
  5. Step 5: Solve for x
    x = 31,126.56/191.45
  6. Step 6: Final answer
    x = 162.58

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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.