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Finding the Fourth Proportional to 200.96, 277.28 and 127.20

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Solution

The fourth proportional to 200.96, 277.28 and 127.20 is: 175.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    200.96 : 277.28 = 127.20 : x
  2. Step 2: Convert to fraction form
    200.96/277.28 = 127.20/x
  3. Step 3: Cross multiply
    200.96x = 277.28 × 127.20
  4. Step 4: Simplify right side
    200.96x = 35,270.02
  5. Step 5: Solve for x
    x = 35,270.02/200.96
  6. Step 6: Final answer
    x = 175.51

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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.