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Finding the Fourth Proportional to 214.53, 298.11 and 212.30

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Solution

The fourth proportional to 214.53, 298.11 and 212.30 is: 295.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    214.53 : 298.11 = 212.30 : x
  2. Step 2: Convert to fraction form
    214.53/298.11 = 212.30/x
  3. Step 3: Cross multiply
    214.53x = 298.11 × 212.30
  4. Step 4: Simplify right side
    214.53x = 63,287.69
  5. Step 5: Solve for x
    x = 63,287.69/214.53
  6. Step 6: Final answer
    x = 295.01

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These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.