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Finding the Fourth Proportional to 237.80, 327.80 and 187.67

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Solution

The fourth proportional to 237.80, 327.80 and 187.67 is: 258.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    237.80 : 327.80 = 187.67 : x
  2. Step 2: Convert to fraction form
    237.80/327.80 = 187.67/x
  3. Step 3: Cross multiply
    237.80x = 327.80 × 187.67
  4. Step 4: Simplify right side
    237.80x = 61,517.29
  5. Step 5: Solve for x
    x = 61,517.29/237.80
  6. Step 6: Final answer
    x = 258.69

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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.