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Finding the Fourth Proportional to 204, 281.40 and 148.67

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Solution

The fourth proportional to 204, 281.40 and 148.67 is: 205.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    204 : 281.40 = 148.67 : x
  2. Step 2: Convert to fraction form
    204/281.40 = 148.67/x
  3. Step 3: Cross multiply
    204x = 281.40 × 148.67
  4. Step 4: Simplify right side
    204x = 41,834.33
  5. Step 5: Solve for x
    x = 41,834.33/204
  6. Step 6: Final answer
    x = 205.07

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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.