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Finding the Fourth Proportional to 202.69, 303.81 and 125.71

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Solution

The fourth proportional to 202.69, 303.81 and 125.71 is: 188.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    202.69 : 303.81 = 125.71 : x
  2. Step 2: Convert to fraction form
    202.69/303.81 = 125.71/x
  3. Step 3: Cross multiply
    202.69x = 303.81 × 125.71
  4. Step 4: Simplify right side
    202.69x = 38,191.96
  5. Step 5: Solve for x
    x = 38,191.96/202.69
  6. Step 6: Final answer
    x = 188.43

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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.