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Finding the Fourth Proportional to 202.65, 304.20 and 189.43

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Solution

The fourth proportional to 202.65, 304.20 and 189.43 is: 284.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    202.65 : 304.20 = 189.43 : x
  2. Step 2: Convert to fraction form
    202.65/304.20 = 189.43/x
  3. Step 3: Cross multiply
    202.65x = 304.20 × 189.43
  4. Step 4: Simplify right side
    202.65x = 57,624.61
  5. Step 5: Solve for x
    x = 57,624.61/202.65
  6. Step 6: Final answer
    x = 284.36

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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.