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Finding the Fourth Proportional to 202.84, 280.15 and 137.23

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Solution

The fourth proportional to 202.84, 280.15 and 137.23 is: 189.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    202.84 : 280.15 = 137.23 : x
  2. Step 2: Convert to fraction form
    202.84/280.15 = 137.23/x
  3. Step 3: Cross multiply
    202.84x = 280.15 × 137.23
  4. Step 4: Simplify right side
    202.84x = 38,443.42
  5. Step 5: Solve for x
    x = 38,443.42/202.84
  6. Step 6: Final answer
    x = 189.53

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.