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Finding the Fourth Proportional to 237.16, 327.47 and 149.86

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Solution

The fourth proportional to 237.16, 327.47 and 149.86 is: 206.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    237.16 : 327.47 = 149.86 : x
  2. Step 2: Convert to fraction form
    237.16/327.47 = 149.86/x
  3. Step 3: Cross multiply
    237.16x = 327.47 × 149.86
  4. Step 4: Simplify right side
    237.16x = 49,074.65
  5. Step 5: Solve for x
    x = 49,074.65/237.16
  6. Step 6: Final answer
    x = 206.93

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.