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Finding the Fourth Proportional to 237.30, 327.69 and 150

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Solution

The fourth proportional to 237.30, 327.69 and 150 is: 207.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    237.30 : 327.69 = 150 : x
  2. Step 2: Convert to fraction form
    237.30/327.69 = 150/x
  3. Step 3: Cross multiply
    237.30x = 327.69 × 150
  4. Step 4: Simplify right side
    237.30x = 49,153.50
  5. Step 5: Solve for x
    x = 49,153.50/237.30
  6. Step 6: Final answer
    x = 207.14

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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.