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Finding the Fourth Proportional to 278.75, 384.68 and 175.25

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Solution

The fourth proportional to 278.75, 384.68 and 175.25 is: 241.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    278.75 : 384.68 = 175.25 : x
  2. Step 2: Convert to fraction form
    278.75/384.68 = 175.25/x
  3. Step 3: Cross multiply
    278.75x = 384.68 × 175.25
  4. Step 4: Simplify right side
    278.75x = 67,415.17
  5. Step 5: Solve for x
    x = 67,415.17/278.75
  6. Step 6: Final answer
    x = 241.85

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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.