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Finding the Fourth Proportional to 204.01, 308.23 and 202.18

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Solution

The fourth proportional to 204.01, 308.23 and 202.18 is: 305.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    204.01 : 308.23 = 202.18 : x
  2. Step 2: Convert to fraction form
    204.01/308.23 = 202.18/x
  3. Step 3: Cross multiply
    204.01x = 308.23 × 202.18
  4. Step 4: Simplify right side
    204.01x = 62,319.11
  5. Step 5: Solve for x
    x = 62,319.11/204.01
  6. Step 6: Final answer
    x = 305.48

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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.