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Finding the Fourth Proportional to 204.16, 307.96 and 197.68

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Solution

The fourth proportional to 204.16, 307.96 and 197.68 is: 298.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    204.16 : 307.96 = 197.68 : x
  2. Step 2: Convert to fraction form
    204.16/307.96 = 197.68/x
  3. Step 3: Cross multiply
    204.16x = 307.96 × 197.68
  4. Step 4: Simplify right side
    204.16x = 60,877.53
  5. Step 5: Solve for x
    x = 60,877.53/204.16
  6. Step 6: Final answer
    x = 298.19

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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.