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Finding the Fourth Proportional to 240.49, 362.18 and 202.22

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Solution

The fourth proportional to 240.49, 362.18 and 202.22 is: 304.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    240.49 : 362.18 = 202.22 : x
  2. Step 2: Convert to fraction form
    240.49/362.18 = 202.22/x
  3. Step 3: Cross multiply
    240.49x = 362.18 × 202.22
  4. Step 4: Simplify right side
    240.49x = 73,241.40
  5. Step 5: Solve for x
    x = 73,241.40/240.49
  6. Step 6: Final answer
    x = 304.55

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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.