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Finding the Fourth Proportional to 200.92, 277.23 and 127.24

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Solution

The fourth proportional to 200.92, 277.23 and 127.24 is: 175.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    200.92 : 277.23 = 127.24 : x
  2. Step 2: Convert to fraction form
    200.92/277.23 = 127.24/x
  3. Step 3: Cross multiply
    200.92x = 277.23 × 127.24
  4. Step 4: Simplify right side
    200.92x = 35,274.75
  5. Step 5: Solve for x
    x = 35,274.75/200.92
  6. Step 6: Final answer
    x = 175.57

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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.