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Finding the Fourth Proportional to 191, 286.56 and 142.34

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Solution

The fourth proportional to 191, 286.56 and 142.34 is: 213.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    191 : 286.56 = 142.34 : x
  2. Step 2: Convert to fraction form
    191/286.56 = 142.34/x
  3. Step 3: Cross multiply
    191x = 286.56 × 142.34
  4. Step 4: Simplify right side
    191x = 40,788.95
  5. Step 5: Solve for x
    x = 40,788.95/191
  6. Step 6: Final answer
    x = 213.55

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.