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Finding the Fourth Proportional to 191.88, 286.56 and 167.58

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Solution

The fourth proportional to 191.88, 286.56 and 167.58 is: 250.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    191.88 : 286.56 = 167.58 : x
  2. Step 2: Convert to fraction form
    191.88/286.56 = 167.58/x
  3. Step 3: Cross multiply
    191.88x = 286.56 × 167.58
  4. Step 4: Simplify right side
    191.88x = 48,021.72
  5. Step 5: Solve for x
    x = 48,021.72/191.88
  6. Step 6: Final answer
    x = 250.27

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.