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Finding the Fourth Proportional to 201.53, 277.94 and 127.86

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Solution

The fourth proportional to 201.53, 277.94 and 127.86 is: 176.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    201.53 : 277.94 = 127.86 : x
  2. Step 2: Convert to fraction form
    201.53/277.94 = 127.86/x
  3. Step 3: Cross multiply
    201.53x = 277.94 × 127.86
  4. Step 4: Simplify right side
    201.53x = 35,536.77
  5. Step 5: Solve for x
    x = 35,536.77/201.53
  6. Step 6: Final answer
    x = 176.34

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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.