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Finding the Fourth Proportional to 237.35, 327.17 and 188.13

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Solution

The fourth proportional to 237.35, 327.17 and 188.13 is: 259.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    237.35 : 327.17 = 188.13 : x
  2. Step 2: Convert to fraction form
    237.35/327.17 = 188.13/x
  3. Step 3: Cross multiply
    237.35x = 327.17 × 188.13
  4. Step 4: Simplify right side
    237.35x = 61,549.55
  5. Step 5: Solve for x
    x = 61,549.55/237.35
  6. Step 6: Final answer
    x = 259.33

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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.