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Finding the Fourth Proportional to 276.19, 380.99 and 171.24

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Solution

The fourth proportional to 276.19, 380.99 and 171.24 is: 236.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    276.19 : 380.99 = 171.24 : x
  2. Step 2: Convert to fraction form
    276.19/380.99 = 171.24/x
  3. Step 3: Cross multiply
    276.19x = 380.99 × 171.24
  4. Step 4: Simplify right side
    276.19x = 65,240.51
  5. Step 5: Solve for x
    x = 65,240.51/276.19
  6. Step 6: Final answer
    x = 236.22

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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.