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Finding the Fourth Proportional to 214.16, 319.03 and 200.88

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Solution

The fourth proportional to 214.16, 319.03 and 200.88 is: 299.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    214.16 : 319.03 = 200.88 : x
  2. Step 2: Convert to fraction form
    214.16/319.03 = 200.88/x
  3. Step 3: Cross multiply
    214.16x = 319.03 × 200.88
  4. Step 4: Simplify right side
    214.16x = 64,086.75
  5. Step 5: Solve for x
    x = 64,086.75/214.16
  6. Step 6: Final answer
    x = 299.25

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.