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Finding the Fourth Proportional to 277.80, 417.02 and 131.83

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Solution

The fourth proportional to 277.80, 417.02 and 131.83 is: 197.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    277.80 : 417.02 = 131.83 : x
  2. Step 2: Convert to fraction form
    277.80/417.02 = 131.83/x
  3. Step 3: Cross multiply
    277.80x = 417.02 × 131.83
  4. Step 4: Simplify right side
    277.80x = 54,974.04
  5. Step 5: Solve for x
    x = 54,974.04/277.80
  6. Step 6: Final answer
    x = 197.89

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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.