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Finding the Fourth Proportional to 191.09, 263.42 and 144.52

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Solution

The fourth proportional to 191.09, 263.42 and 144.52 is: 199.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    191.09 : 263.42 = 144.52 : x
  2. Step 2: Convert to fraction form
    191.09/263.42 = 144.52/x
  3. Step 3: Cross multiply
    191.09x = 263.42 × 144.52
  4. Step 4: Simplify right side
    191.09x = 38,068.62
  5. Step 5: Solve for x
    x = 38,068.62/191.09
  6. Step 6: Final answer
    x = 199.22

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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.