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Finding the Fourth Proportional to 202.77, 302.40 and 199.80

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Solution

The fourth proportional to 202.77, 302.40 and 199.80 is: 297.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    202.77 : 302.40 = 199.80 : x
  2. Step 2: Convert to fraction form
    202.77/302.40 = 199.80/x
  3. Step 3: Cross multiply
    202.77x = 302.40 × 199.80
  4. Step 4: Simplify right side
    202.77x = 60,419.52
  5. Step 5: Solve for x
    x = 60,419.52/202.77
  6. Step 6: Final answer
    x = 297.97

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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.