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Finding the Fourth Proportional to 276.99, 415.16 and 114.47

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Solution

The fourth proportional to 276.99, 415.16 and 114.47 is: 171.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    276.99 : 415.16 = 114.47 : x
  2. Step 2: Convert to fraction form
    276.99/415.16 = 114.47/x
  3. Step 3: Cross multiply
    276.99x = 415.16 × 114.47
  4. Step 4: Simplify right side
    276.99x = 47,522.70
  5. Step 5: Solve for x
    x = 47,522.70/276.99
  6. Step 6: Final answer
    x = 171.57

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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.