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Finding the Fourth Proportional to 191.22, 263.88 and 117.54

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Solution

The fourth proportional to 191.22, 263.88 and 117.54 is: 162.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    191.22 : 263.88 = 117.54 : x
  2. Step 2: Convert to fraction form
    191.22/263.88 = 117.54/x
  3. Step 3: Cross multiply
    191.22x = 263.88 × 117.54
  4. Step 4: Simplify right side
    191.22x = 31,016.46
  5. Step 5: Solve for x
    x = 31,016.46/191.22
  6. Step 6: Final answer
    x = 162.20

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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.