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Finding the Fourth Proportional to 202.56, 302.08 and 199.68

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Solution

The fourth proportional to 202.56, 302.08 and 199.68 is: 297.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    202.56 : 302.08 = 199.68 : x
  2. Step 2: Convert to fraction form
    202.56/302.08 = 199.68/x
  3. Step 3: Cross multiply
    202.56x = 302.08 × 199.68
  4. Step 4: Simplify right side
    202.56x = 60,319.33
  5. Step 5: Solve for x
    x = 60,319.33/202.56
  6. Step 6: Final answer
    x = 297.79

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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.