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Finding the Fourth Proportional to 315.57, 473.22 and 120.61

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Solution

The fourth proportional to 315.57, 473.22 and 120.61 is: 180.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    315.57 : 473.22 = 120.61 : x
  2. Step 2: Convert to fraction form
    315.57/473.22 = 120.61/x
  3. Step 3: Cross multiply
    315.57x = 473.22 × 120.61
  4. Step 4: Simplify right side
    315.57x = 57,076.65
  5. Step 5: Solve for x
    x = 57,076.65/315.57
  6. Step 6: Final answer
    x = 180.87

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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.