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Finding the Fourth Proportional to 191.68, 263.24 and 174.40

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Solution

The fourth proportional to 191.68, 263.24 and 174.40 is: 239.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    191.68 : 263.24 = 174.40 : x
  2. Step 2: Convert to fraction form
    191.68/263.24 = 174.40/x
  3. Step 3: Cross multiply
    191.68x = 263.24 × 174.40
  4. Step 4: Simplify right side
    191.68x = 45,909.06
  5. Step 5: Solve for x
    x = 45,909.06/191.68
  6. Step 6: Final answer
    x = 239.51

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.