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Finding the Fourth Proportional to 191.57, 287.37 and 176.54

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Solution

The fourth proportional to 191.57, 287.37 and 176.54 is: 264.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    191.57 : 287.37 = 176.54 : x
  2. Step 2: Convert to fraction form
    191.57/287.37 = 176.54/x
  3. Step 3: Cross multiply
    191.57x = 287.37 × 176.54
  4. Step 4: Simplify right side
    191.57x = 50,730.86
  5. Step 5: Solve for x
    x = 50,730.86/191.57
  6. Step 6: Final answer
    x = 264.82

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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.