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Finding the Fourth Proportional to 382.16, 527.39 and 214.13

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Solution

The fourth proportional to 382.16, 527.39 and 214.13 is: 295.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    382.16 : 527.39 = 214.13 : x
  2. Step 2: Convert to fraction form
    382.16/527.39 = 214.13/x
  3. Step 3: Cross multiply
    382.16x = 527.39 × 214.13
  4. Step 4: Simplify right side
    382.16x = 112,929.63
  5. Step 5: Solve for x
    x = 112,929.63/382.16
  6. Step 6: Final answer
    x = 295.50

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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.