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Finding the Fourth Proportional to 202.52, 301.77 and 195.98

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Solution

The fourth proportional to 202.52, 301.77 and 195.98 is: 292.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    202.52 : 301.77 = 195.98 : x
  2. Step 2: Convert to fraction form
    202.52/301.77 = 195.98/x
  3. Step 3: Cross multiply
    202.52x = 301.77 × 195.98
  4. Step 4: Simplify right side
    202.52x = 59,139.90
  5. Step 5: Solve for x
    x = 59,139.90/202.52
  6. Step 6: Final answer
    x = 292.02

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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.