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Finding the Fourth Proportional to 276.63, 381.74 and 152.28

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Solution

The fourth proportional to 276.63, 381.74 and 152.28 is: 210.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    276.63 : 381.74 = 152.28 : x
  2. Step 2: Convert to fraction form
    276.63/381.74 = 152.28/x
  3. Step 3: Cross multiply
    276.63x = 381.74 × 152.28
  4. Step 4: Simplify right side
    276.63x = 58,131.94
  5. Step 5: Solve for x
    x = 58,131.94/276.63
  6. Step 6: Final answer
    x = 210.14

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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.