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Finding the Fourth Proportional to 277.45, 416.11 and 82.45

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Solution

The fourth proportional to 277.45, 416.11 and 82.45 is: 123.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    277.45 : 416.11 = 82.45 : x
  2. Step 2: Convert to fraction form
    277.45/416.11 = 82.45/x
  3. Step 3: Cross multiply
    277.45x = 416.11 × 82.45
  4. Step 4: Simplify right side
    277.45x = 34,307.86
  5. Step 5: Solve for x
    x = 34,307.86/277.45
  6. Step 6: Final answer
    x = 123.66

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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.