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Finding the Fourth Proportional to 277.52, 416.22 and 95.04

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Solution

The fourth proportional to 277.52, 416.22 and 95.04 is: 142.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    277.52 : 416.22 = 95.04 : x
  2. Step 2: Convert to fraction form
    277.52/416.22 = 95.04/x
  3. Step 3: Cross multiply
    277.52x = 416.22 × 95.04
  4. Step 4: Simplify right side
    277.52x = 39,557.55
  5. Step 5: Solve for x
    x = 39,557.55/277.52
  6. Step 6: Final answer
    x = 142.54

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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.