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Finding the Fourth Proportional to 204.36, 304.48 and 196.16

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Solution

The fourth proportional to 204.36, 304.48 and 196.16 is: 292.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    204.36 : 304.48 = 196.16 : x
  2. Step 2: Convert to fraction form
    204.36/304.48 = 196.16/x
  3. Step 3: Cross multiply
    204.36x = 304.48 × 196.16
  4. Step 4: Simplify right side
    204.36x = 59,726.80
  5. Step 5: Solve for x
    x = 59,726.80/204.36
  6. Step 6: Final answer
    x = 292.26

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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.