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Finding the Fourth Proportional to 191.14, 262.89 and 178.18

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Solution

The fourth proportional to 191.14, 262.89 and 178.18 is: 245.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    191.14 : 262.89 = 178.18 : x
  2. Step 2: Convert to fraction form
    191.14/262.89 = 178.18/x
  3. Step 3: Cross multiply
    191.14x = 262.89 × 178.18
  4. Step 4: Simplify right side
    191.14x = 46,841.74
  5. Step 5: Solve for x
    x = 46,841.74/191.14
  6. Step 6: Final answer
    x = 245.07

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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.