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Finding the Fourth Proportional to 191.04, 284.94 and 185.27

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Solution

The fourth proportional to 191.04, 284.94 and 185.27 is: 276.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    191.04 : 284.94 = 185.27 : x
  2. Step 2: Convert to fraction form
    191.04/284.94 = 185.27/x
  3. Step 3: Cross multiply
    191.04x = 284.94 × 185.27
  4. Step 4: Simplify right side
    191.04x = 52,788.48
  5. Step 5: Solve for x
    x = 52,788.48/191.04
  6. Step 6: Final answer
    x = 276.33

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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.