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Finding the Fourth Proportional to 277.11, 414.61 and 167.02

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Solution

The fourth proportional to 277.11, 414.61 and 167.02 is: 249.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    277.11 : 414.61 = 167.02 : x
  2. Step 2: Convert to fraction form
    277.11/414.61 = 167.02/x
  3. Step 3: Cross multiply
    277.11x = 414.61 × 167.02
  4. Step 4: Simplify right side
    277.11x = 69,246.71
  5. Step 5: Solve for x
    x = 69,246.71/277.11
  6. Step 6: Final answer
    x = 249.89

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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.