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Finding the Fourth Proportional to 382.13, 527.32 and 242.23

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Solution

The fourth proportional to 382.13, 527.32 and 242.23 is: 334.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    382.13 : 527.32 = 242.23 : x
  2. Step 2: Convert to fraction form
    382.13/527.32 = 242.23/x
  3. Step 3: Cross multiply
    382.13x = 527.32 × 242.23
  4. Step 4: Simplify right side
    382.13x = 127,730.80
  5. Step 5: Solve for x
    x = 127,730.80/382.13
  6. Step 6: Final answer
    x = 334.26

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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.