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Finding the Fourth Proportional to 237.47, 327.78 and 150.26

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Solution

The fourth proportional to 237.47, 327.78 and 150.26 is: 207.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    237.47 : 327.78 = 150.26 : x
  2. Step 2: Convert to fraction form
    237.47/327.78 = 150.26/x
  3. Step 3: Cross multiply
    237.47x = 327.78 × 150.26
  4. Step 4: Simplify right side
    237.47x = 49,250.58
  5. Step 5: Solve for x
    x = 49,250.58/237.47
  6. Step 6: Final answer
    x = 207.40

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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.