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Finding the Fourth Proportional to 276.40, 414.20 and 152.88

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Solution

The fourth proportional to 276.40, 414.20 and 152.88 is: 229.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    276.40 : 414.20 = 152.88 : x
  2. Step 2: Convert to fraction form
    276.40/414.20 = 152.88/x
  3. Step 3: Cross multiply
    276.40x = 414.20 × 152.88
  4. Step 4: Simplify right side
    276.40x = 63,322.90
  5. Step 5: Solve for x
    x = 63,322.90/276.40
  6. Step 6: Final answer
    x = 229.10

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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.