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Finding the Fourth Proportional to 382.02, 527.31 and 242.16

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Solution

The fourth proportional to 382.02, 527.31 and 242.16 is: 334.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    382.02 : 527.31 = 242.16 : x
  2. Step 2: Convert to fraction form
    382.02/527.31 = 242.16/x
  3. Step 3: Cross multiply
    382.02x = 527.31 × 242.16
  4. Step 4: Simplify right side
    382.02x = 127,693.39
  5. Step 5: Solve for x
    x = 127,693.39/382.02
  6. Step 6: Final answer
    x = 334.26

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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.