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Finding the Fourth Proportional to 279.86, 385.52 and 238.28

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Solution

The fourth proportional to 279.86, 385.52 and 238.28 is: 328.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    279.86 : 385.52 = 238.28 : x
  2. Step 2: Convert to fraction form
    279.86/385.52 = 238.28/x
  3. Step 3: Cross multiply
    279.86x = 385.52 × 238.28
  4. Step 4: Simplify right side
    279.86x = 91,861.71
  5. Step 5: Solve for x
    x = 91,861.71/279.86
  6. Step 6: Final answer
    x = 328.24

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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.