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Finding the Fourth Proportional to 276.93, 415.34 and 114.61

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Solution

The fourth proportional to 276.93, 415.34 and 114.61 is: 171.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    276.93 : 415.34 = 114.61 : x
  2. Step 2: Convert to fraction form
    276.93/415.34 = 114.61/x
  3. Step 3: Cross multiply
    276.93x = 415.34 × 114.61
  4. Step 4: Simplify right side
    276.93x = 47,602.12
  5. Step 5: Solve for x
    x = 47,602.12/276.93
  6. Step 6: Final answer
    x = 171.89

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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.