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Finding the Fourth Proportional to 382.19, 527.20 and 242.06

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Solution

The fourth proportional to 382.19, 527.20 and 242.06 is: 333.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    382.19 : 527.20 = 242.06 : x
  2. Step 2: Convert to fraction form
    382.19/527.20 = 242.06/x
  3. Step 3: Cross multiply
    382.19x = 527.20 × 242.06
  4. Step 4: Simplify right side
    382.19x = 127,610.79
  5. Step 5: Solve for x
    x = 127,610.79/382.19
  6. Step 6: Final answer
    x = 333.90

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.