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Finding the Fourth Proportional to 237.42, 327.74 and 148.91

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Solution

The fourth proportional to 237.42, 327.74 and 148.91 is: 205.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    237.42 : 327.74 = 148.91 : x
  2. Step 2: Convert to fraction form
    237.42/327.74 = 148.91/x
  3. Step 3: Cross multiply
    237.42x = 327.74 × 148.91
  4. Step 4: Simplify right side
    237.42x = 48,801.38
  5. Step 5: Solve for x
    x = 48,801.38/237.42
  6. Step 6: Final answer
    x = 205.55

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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.