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Finding the Fourth Proportional to 240.66, 362.48 and 215.28

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Solution

The fourth proportional to 240.66, 362.48 and 215.28 is: 324.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    240.66 : 362.48 = 215.28 : x
  2. Step 2: Convert to fraction form
    240.66/362.48 = 215.28/x
  3. Step 3: Cross multiply
    240.66x = 362.48 × 215.28
  4. Step 4: Simplify right side
    240.66x = 78,033.62
  5. Step 5: Solve for x
    x = 78,033.62/240.66
  6. Step 6: Final answer
    x = 324.25

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.