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Finding the Fourth Proportional to 276.30, 415.06 and 241.08

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Solution

The fourth proportional to 276.30, 415.06 and 241.08 is: 362.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    276.30 : 415.06 = 241.08 : x
  2. Step 2: Convert to fraction form
    276.30/415.06 = 241.08/x
  3. Step 3: Cross multiply
    276.30x = 415.06 × 241.08
  4. Step 4: Simplify right side
    276.30x = 100,062.66
  5. Step 5: Solve for x
    x = 100,062.66/276.30
  6. Step 6: Final answer
    x = 362.15

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.