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Finding the Fourth Proportional to 277.88, 416.98 and 107

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Solution

The fourth proportional to 277.88, 416.98 and 107 is: 160.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    277.88 : 416.98 = 107 : x
  2. Step 2: Convert to fraction form
    277.88/416.98 = 107/x
  3. Step 3: Cross multiply
    277.88x = 416.98 × 107
  4. Step 4: Simplify right side
    277.88x = 44,616.86
  5. Step 5: Solve for x
    x = 44,616.86/277.88
  6. Step 6: Final answer
    x = 160.56

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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.