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Finding the Fourth Proportional to 204.24, 304.16 and 199.20

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Solution

The fourth proportional to 204.24, 304.16 and 199.20 is: 296.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    204.24 : 304.16 = 199.20 : x
  2. Step 2: Convert to fraction form
    204.24/304.16 = 199.20/x
  3. Step 3: Cross multiply
    204.24x = 304.16 × 199.20
  4. Step 4: Simplify right side
    204.24x = 60,588.67
  5. Step 5: Solve for x
    x = 60,588.67/204.24
  6. Step 6: Final answer
    x = 296.65

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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.