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Finding the Fourth Proportional to 202.72, 304.10 and 65.78

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Solution

The fourth proportional to 202.72, 304.10 and 65.78 is: 98.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    202.72 : 304.10 = 65.78 : x
  2. Step 2: Convert to fraction form
    202.72/304.10 = 65.78/x
  3. Step 3: Cross multiply
    202.72x = 304.10 × 65.78
  4. Step 4: Simplify right side
    202.72x = 20,003.61
  5. Step 5: Solve for x
    x = 20,003.61/202.72
  6. Step 6: Final answer
    x = 98.68

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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.