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Finding the Fourth Proportional to 214.81, 296.45 and 126.30

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Solution

The fourth proportional to 214.81, 296.45 and 126.30 is: 174.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    214.81 : 296.45 = 126.30 : x
  2. Step 2: Convert to fraction form
    214.81/296.45 = 126.30/x
  3. Step 3: Cross multiply
    214.81x = 296.45 × 126.30
  4. Step 4: Simplify right side
    214.81x = 37,441.21
  5. Step 5: Solve for x
    x = 37,441.21/214.81
  6. Step 6: Final answer
    x = 174.30

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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.