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Finding the Fourth Proportional to 279.25, 385.37 and 175.75

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Solution

The fourth proportional to 279.25, 385.37 and 175.75 is: 242.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    279.25 : 385.37 = 175.75 : x
  2. Step 2: Convert to fraction form
    279.25/385.37 = 175.75/x
  3. Step 3: Cross multiply
    279.25x = 385.37 × 175.75
  4. Step 4: Simplify right side
    279.25x = 67,728.78
  5. Step 5: Solve for x
    x = 67,728.78/279.25
  6. Step 6: Final answer
    x = 242.54

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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.