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Finding the Fourth Proportional to 214.62, 295.92 and 200.04

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Solution

The fourth proportional to 214.62, 295.92 and 200.04 is: 275.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    214.62 : 295.92 = 200.04 : x
  2. Step 2: Convert to fraction form
    214.62/295.92 = 200.04/x
  3. Step 3: Cross multiply
    214.62x = 295.92 × 200.04
  4. Step 4: Simplify right side
    214.62x = 59,195.84
  5. Step 5: Solve for x
    x = 59,195.84/214.62
  6. Step 6: Final answer
    x = 275.82

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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.