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Finding the Fourth Proportional to 191.59, 285.38 and 184.90

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Solution

The fourth proportional to 191.59, 285.38 and 184.90 is: 275.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    191.59 : 285.38 = 184.90 : x
  2. Step 2: Convert to fraction form
    191.59/285.38 = 184.90/x
  3. Step 3: Cross multiply
    191.59x = 285.38 × 184.90
  4. Step 4: Simplify right side
    191.59x = 52,766.76
  5. Step 5: Solve for x
    x = 52,766.76/191.59
  6. Step 6: Final answer
    x = 275.42

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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.