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Finding the Fourth Proportional to 382.25, 527.55 and 266.06

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Solution

The fourth proportional to 382.25, 527.55 and 266.06 is: 367.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    382.25 : 527.55 = 266.06 : x
  2. Step 2: Convert to fraction form
    382.25/527.55 = 266.06/x
  3. Step 3: Cross multiply
    382.25x = 527.55 × 266.06
  4. Step 4: Simplify right side
    382.25x = 140,359.95
  5. Step 5: Solve for x
    x = 140,359.95/382.25
  6. Step 6: Final answer
    x = 367.19

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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.