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Finding the Fourth Proportional to 215.25, 296.43 and 185.49

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Solution

The fourth proportional to 215.25, 296.43 and 185.49 is: 255.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    215.25 : 296.43 = 185.49 : x
  2. Step 2: Convert to fraction form
    215.25/296.43 = 185.49/x
  3. Step 3: Cross multiply
    215.25x = 296.43 × 185.49
  4. Step 4: Simplify right side
    215.25x = 54,984.80
  5. Step 5: Solve for x
    x = 54,984.80/215.25
  6. Step 6: Final answer
    x = 255.45

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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.