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Finding the Fourth Proportional to 214.80, 296.16 and 185.28

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Solution

The fourth proportional to 214.80, 296.16 and 185.28 is: 255.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    214.80 : 296.16 = 185.28 : x
  2. Step 2: Convert to fraction form
    214.80/296.16 = 185.28/x
  3. Step 3: Cross multiply
    214.80x = 296.16 × 185.28
  4. Step 4: Simplify right side
    214.80x = 54,872.52
  5. Step 5: Solve for x
    x = 54,872.52/214.80
  6. Step 6: Final answer
    x = 255.46

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.