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Finding the Fourth Proportional to 237.82, 328.26 and 150.52

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Solution

The fourth proportional to 237.82, 328.26 and 150.52 is: 207.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    237.82 : 328.26 = 150.52 : x
  2. Step 2: Convert to fraction form
    237.82/328.26 = 150.52/x
  3. Step 3: Cross multiply
    237.82x = 328.26 × 150.52
  4. Step 4: Simplify right side
    237.82x = 49,409.70
  5. Step 5: Solve for x
    x = 49,409.70/237.82
  6. Step 6: Final answer
    x = 207.76

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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.