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Finding the Fourth Proportional to 315.20, 472.84 and 122.80

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Solution

The fourth proportional to 315.20, 472.84 and 122.80 is: 184.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    315.20 : 472.84 = 122.80 : x
  2. Step 2: Convert to fraction form
    315.20/472.84 = 122.80/x
  3. Step 3: Cross multiply
    315.20x = 472.84 × 122.80
  4. Step 4: Simplify right side
    315.20x = 58,064.75
  5. Step 5: Solve for x
    x = 58,064.75/315.20
  6. Step 6: Final answer
    x = 184.22

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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.