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Finding the Fourth Proportional to 191.67, 287.80 and 170.91

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Solution

The fourth proportional to 191.67, 287.80 and 170.91 is: 256.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    191.67 : 287.80 = 170.91 : x
  2. Step 2: Convert to fraction form
    191.67/287.80 = 170.91/x
  3. Step 3: Cross multiply
    191.67x = 287.80 × 170.91
  4. Step 4: Simplify right side
    191.67x = 49,188.43
  5. Step 5: Solve for x
    x = 49,188.43/191.67
  6. Step 6: Final answer
    x = 256.64

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