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Finding the Fourth Proportional to 277.60, 416.34 and 82.56

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Solution

The fourth proportional to 277.60, 416.34 and 82.56 is: 123.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    277.60 : 416.34 = 82.56 : x
  2. Step 2: Convert to fraction form
    277.60/416.34 = 82.56/x
  3. Step 3: Cross multiply
    277.60x = 416.34 × 82.56
  4. Step 4: Simplify right side
    277.60x = 34,373.03
  5. Step 5: Solve for x
    x = 34,373.03/277.60
  6. Step 6: Final answer
    x = 123.82

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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.