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Finding the Fourth Proportional to 315.22, 472.09 and 160.77

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Solution

The fourth proportional to 315.22, 472.09 and 160.77 is: 240.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    315.22 : 472.09 = 160.77 : x
  2. Step 2: Convert to fraction form
    315.22/472.09 = 160.77/x
  3. Step 3: Cross multiply
    315.22x = 472.09 × 160.77
  4. Step 4: Simplify right side
    315.22x = 75,897.91
  5. Step 5: Solve for x
    x = 75,897.91/315.22
  6. Step 6: Final answer
    x = 240.78

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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.