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Finding the Fourth Proportional to 200.73, 277.09 and 148.27

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Solution

The fourth proportional to 200.73, 277.09 and 148.27 is: 204.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    200.73 : 277.09 = 148.27 : x
  2. Step 2: Convert to fraction form
    200.73/277.09 = 148.27/x
  3. Step 3: Cross multiply
    200.73x = 277.09 × 148.27
  4. Step 4: Simplify right side
    200.73x = 41,084.13
  5. Step 5: Solve for x
    x = 41,084.13/200.73
  6. Step 6: Final answer
    x = 204.67

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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.