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Finding the Fourth Proportional to 202.28, 302.98 and 125.27

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Solution

The fourth proportional to 202.28, 302.98 and 125.27 is: 187.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    202.28 : 302.98 = 125.27 : x
  2. Step 2: Convert to fraction form
    202.28/302.98 = 125.27/x
  3. Step 3: Cross multiply
    202.28x = 302.98 × 125.27
  4. Step 4: Simplify right side
    202.28x = 37,952.79
  5. Step 5: Solve for x
    x = 37,952.79/202.28
  6. Step 6: Final answer
    x = 187.63

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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.