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Finding the Fourth Proportional to 200.92, 277.32 and 149.08

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Solution

The fourth proportional to 200.92, 277.32 and 149.08 is: 205.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    200.92 : 277.32 = 149.08 : x
  2. Step 2: Convert to fraction form
    200.92/277.32 = 149.08/x
  3. Step 3: Cross multiply
    200.92x = 277.32 × 149.08
  4. Step 4: Simplify right side
    200.92x = 41,342.87
  5. Step 5: Solve for x
    x = 41,342.87/200.92
  6. Step 6: Final answer
    x = 205.77

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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.