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Finding the Fourth Proportional to 204.18, 304.02 and 202.74

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Solution

The fourth proportional to 204.18, 304.02 and 202.74 is: 301.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    204.18 : 304.02 = 202.74 : x
  2. Step 2: Convert to fraction form
    204.18/304.02 = 202.74/x
  3. Step 3: Cross multiply
    204.18x = 304.02 × 202.74
  4. Step 4: Simplify right side
    204.18x = 61,637.01
  5. Step 5: Solve for x
    x = 61,637.01/204.18
  6. Step 6: Final answer
    x = 301.88

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.