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Finding the Fourth Proportional to 277.20, 416.10 and 267.68

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Solution

The fourth proportional to 277.20, 416.10 and 267.68 is: 401.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    277.20 : 416.10 = 267.68 : x
  2. Step 2: Convert to fraction form
    277.20/416.10 = 267.68/x
  3. Step 3: Cross multiply
    277.20x = 416.10 × 267.68
  4. Step 4: Simplify right side
    277.20x = 111,381.65
  5. Step 5: Solve for x
    x = 111,381.65/277.20
  6. Step 6: Final answer
    x = 401.81

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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.