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Finding the Fourth Proportional to 200.81, 277.38 and 148.43

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Solution

The fourth proportional to 200.81, 277.38 and 148.43 is: 205.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    200.81 : 277.38 = 148.43 : x
  2. Step 2: Convert to fraction form
    200.81/277.38 = 148.43/x
  3. Step 3: Cross multiply
    200.81x = 277.38 × 148.43
  4. Step 4: Simplify right side
    200.81x = 41,170.77
  5. Step 5: Solve for x
    x = 41,170.77/200.81
  6. Step 6: Final answer
    x = 205.02

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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.