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Finding the Fourth Proportional to 201.48, 277.99 and 127.77

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Solution

The fourth proportional to 201.48, 277.99 and 127.77 is: 176.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    201.48 : 277.99 = 127.77 : x
  2. Step 2: Convert to fraction form
    201.48/277.99 = 127.77/x
  3. Step 3: Cross multiply
    201.48x = 277.99 × 127.77
  4. Step 4: Simplify right side
    201.48x = 35,518.14
  5. Step 5: Solve for x
    x = 35,518.14/201.48
  6. Step 6: Final answer
    x = 176.29

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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.