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Finding the Fourth Proportional to 381.97, 527.16 and 242.24

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Solution

The fourth proportional to 381.97, 527.16 and 242.24 is: 334.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    381.97 : 527.16 = 242.24 : x
  2. Step 2: Convert to fraction form
    381.97/527.16 = 242.24/x
  3. Step 3: Cross multiply
    381.97x = 527.16 × 242.24
  4. Step 4: Simplify right side
    381.97x = 127,699.11
  5. Step 5: Solve for x
    x = 127,699.11/381.97
  6. Step 6: Final answer
    x = 334.32

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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.