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Finding the Fourth Proportional to 202.93, 302.57 and 199.29

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Solution

The fourth proportional to 202.93, 302.57 and 199.29 is: 297.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    202.93 : 302.57 = 199.29 : x
  2. Step 2: Convert to fraction form
    202.93/302.57 = 199.29/x
  3. Step 3: Cross multiply
    202.93x = 302.57 × 199.29
  4. Step 4: Simplify right side
    202.93x = 60,299.18
  5. Step 5: Solve for x
    x = 60,299.18/202.93
  6. Step 6: Final answer
    x = 297.14

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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.