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Finding the Fourth Proportional to 278.14, 383.52 and 261.40

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Solution

The fourth proportional to 278.14, 383.52 and 261.40 is: 360.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    278.14 : 383.52 = 261.40 : x
  2. Step 2: Convert to fraction form
    278.14/383.52 = 261.40/x
  3. Step 3: Cross multiply
    278.14x = 383.52 × 261.40
  4. Step 4: Simplify right side
    278.14x = 100,252.13
  5. Step 5: Solve for x
    x = 100,252.13/278.14
  6. Step 6: Final answer
    x = 360.44

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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.