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Finding the Fourth Proportional to 214.89, 296.76 and 185.32

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Solution

The fourth proportional to 214.89, 296.76 and 185.32 is: 255.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    214.89 : 296.76 = 185.32 : x
  2. Step 2: Convert to fraction form
    214.89/296.76 = 185.32/x
  3. Step 3: Cross multiply
    214.89x = 296.76 × 185.32
  4. Step 4: Simplify right side
    214.89x = 54,995.56
  5. Step 5: Solve for x
    x = 54,995.56/214.89
  6. Step 6: Final answer
    x = 255.92

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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.