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Finding the Fourth Proportional to 277.72, 416.29 and 95.01

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Solution

The fourth proportional to 277.72, 416.29 and 95.01 is: 142.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    277.72 : 416.29 = 95.01 : x
  2. Step 2: Convert to fraction form
    277.72/416.29 = 95.01/x
  3. Step 3: Cross multiply
    277.72x = 416.29 × 95.01
  4. Step 4: Simplify right side
    277.72x = 39,553.87
  5. Step 5: Solve for x
    x = 39,553.87/277.72
  6. Step 6: Final answer
    x = 142.42

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.