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Finding the Fourth Proportional to 191.46, 263.96 and 158.14

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Solution

The fourth proportional to 191.46, 263.96 and 158.14 is: 218.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    191.46 : 263.96 = 158.14 : x
  2. Step 2: Convert to fraction form
    191.46/263.96 = 158.14/x
  3. Step 3: Cross multiply
    191.46x = 263.96 × 158.14
  4. Step 4: Simplify right side
    191.46x = 41,742.63
  5. Step 5: Solve for x
    x = 41,742.63/191.46
  6. Step 6: Final answer
    x = 218.02

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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.