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Finding the Fourth Proportional to 279.28, 384.54 and 237.74

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Solution

The fourth proportional to 279.28, 384.54 and 237.74 is: 327.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    279.28 : 384.54 = 237.74 : x
  2. Step 2: Convert to fraction form
    279.28/384.54 = 237.74/x
  3. Step 3: Cross multiply
    279.28x = 384.54 × 237.74
  4. Step 4: Simplify right side
    279.28x = 91,420.54
  5. Step 5: Solve for x
    x = 91,420.54/279.28
  6. Step 6: Final answer
    x = 327.34

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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.