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Finding the Fourth Proportional to 262.86, 394.50 and 160.38

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Solution

The fourth proportional to 262.86, 394.50 and 160.38 is: 240.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    262.86 : 394.50 = 160.38 : x
  2. Step 2: Convert to fraction form
    262.86/394.50 = 160.38/x
  3. Step 3: Cross multiply
    262.86x = 394.50 × 160.38
  4. Step 4: Simplify right side
    262.86x = 63,269.91
  5. Step 5: Solve for x
    x = 63,269.91/262.86
  6. Step 6: Final answer
    x = 240.70

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Why These Related Problems?

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