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Finding the Fourth Proportional to 200.96, 277.43 and 127.39

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Solution

The fourth proportional to 200.96, 277.43 and 127.39 is: 175.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    200.96 : 277.43 = 127.39 : x
  2. Step 2: Convert to fraction form
    200.96/277.43 = 127.39/x
  3. Step 3: Cross multiply
    200.96x = 277.43 × 127.39
  4. Step 4: Simplify right side
    200.96x = 35,341.81
  5. Step 5: Solve for x
    x = 35,341.81/200.96
  6. Step 6: Final answer
    x = 175.86

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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.