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Finding the Fourth Proportional to 276.47, 414.87 and 153.08

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Solution

The fourth proportional to 276.47, 414.87 and 153.08 is: 229.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    276.47 : 414.87 = 153.08 : x
  2. Step 2: Convert to fraction form
    276.47/414.87 = 153.08/x
  3. Step 3: Cross multiply
    276.47x = 414.87 × 153.08
  4. Step 4: Simplify right side
    276.47x = 63,509.54
  5. Step 5: Solve for x
    x = 63,509.54/276.47
  6. Step 6: Final answer
    x = 229.71

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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.