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Finding the Fourth Proportional to 237.76, 328.24 and 194.24

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Solution

The fourth proportional to 237.76, 328.24 and 194.24 is: 268.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    237.76 : 328.24 = 194.24 : x
  2. Step 2: Convert to fraction form
    237.76/328.24 = 194.24/x
  3. Step 3: Cross multiply
    237.76x = 328.24 × 194.24
  4. Step 4: Simplify right side
    237.76x = 63,757.34
  5. Step 5: Solve for x
    x = 63,757.34/237.76
  6. Step 6: Final answer
    x = 268.16

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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.