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Finding the Fourth Proportional to 237.05, 355.80 and 159.75

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Solution

The fourth proportional to 237.05, 355.80 and 159.75 is: 239.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    237.05 : 355.80 = 159.75 : x
  2. Step 2: Convert to fraction form
    237.05/355.80 = 159.75/x
  3. Step 3: Cross multiply
    237.05x = 355.80 × 159.75
  4. Step 4: Simplify right side
    237.05x = 56,839.05
  5. Step 5: Solve for x
    x = 56,839.05/237.05
  6. Step 6: Final answer
    x = 239.78

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.