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Finding the Fourth Proportional to 276.97, 382.25 and 152.66

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Solution

The fourth proportional to 276.97, 382.25 and 152.66 is: 210.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    276.97 : 382.25 = 152.66 : x
  2. Step 2: Convert to fraction form
    276.97/382.25 = 152.66/x
  3. Step 3: Cross multiply
    276.97x = 382.25 × 152.66
  4. Step 4: Simplify right side
    276.97x = 58,354.29
  5. Step 5: Solve for x
    x = 58,354.29/276.97
  6. Step 6: Final answer
    x = 210.69

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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.