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Finding the Fourth Proportional to 277.22, 415.74 and 82.16

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Solution

The fourth proportional to 277.22, 415.74 and 82.16 is: 123.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    277.22 : 415.74 = 82.16 : x
  2. Step 2: Convert to fraction form
    277.22/415.74 = 82.16/x
  3. Step 3: Cross multiply
    277.22x = 415.74 × 82.16
  4. Step 4: Simplify right side
    277.22x = 34,157.20
  5. Step 5: Solve for x
    x = 34,157.20/277.22
  6. Step 6: Final answer
    x = 123.21

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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.