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Finding the Fourth Proportional to 237.34, 327.77 and 185.50

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Solution

The fourth proportional to 237.34, 327.77 and 185.50 is: 256.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    237.34 : 327.77 = 185.50 : x
  2. Step 2: Convert to fraction form
    237.34/327.77 = 185.50/x
  3. Step 3: Cross multiply
    237.34x = 327.77 × 185.50
  4. Step 4: Simplify right side
    237.34x = 60,801.34
  5. Step 5: Solve for x
    x = 60,801.34/237.34
  6. Step 6: Final answer
    x = 256.18

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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.