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Finding the Fourth Proportional to 200.92, 277.41 and 157.18

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Solution

The fourth proportional to 200.92, 277.41 and 157.18 is: 217.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    200.92 : 277.41 = 157.18 : x
  2. Step 2: Convert to fraction form
    200.92/277.41 = 157.18/x
  3. Step 3: Cross multiply
    200.92x = 277.41 × 157.18
  4. Step 4: Simplify right side
    200.92x = 43,603.30
  5. Step 5: Solve for x
    x = 43,603.30/200.92
  6. Step 6: Final answer
    x = 217.02

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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.