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Finding the Fourth Proportional to 204.24, 306.38 and 96.06

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Solution

The fourth proportional to 204.24, 306.38 and 96.06 is: 144.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    204.24 : 306.38 = 96.06 : x
  2. Step 2: Convert to fraction form
    204.24/306.38 = 96.06/x
  3. Step 3: Cross multiply
    204.24x = 306.38 × 96.06
  4. Step 4: Simplify right side
    204.24x = 29,430.86
  5. Step 5: Solve for x
    x = 29,430.86/204.24
  6. Step 6: Final answer
    x = 144.10

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.