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Finding the Fourth Proportional to 201.14, 277.66 and 127.55

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Solution

The fourth proportional to 201.14, 277.66 and 127.55 is: 176.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    201.14 : 277.66 = 127.55 : x
  2. Step 2: Convert to fraction form
    201.14/277.66 = 127.55/x
  3. Step 3: Cross multiply
    201.14x = 277.66 × 127.55
  4. Step 4: Simplify right side
    201.14x = 35,415.53
  5. Step 5: Solve for x
    x = 35,415.53/201.14
  6. Step 6: Final answer
    x = 176.08

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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.