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Finding the Fourth Proportional to 277.22, 414.08 and 231.63

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Solution

The fourth proportional to 277.22, 414.08 and 231.63 is: 345.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    277.22 : 414.08 = 231.63 : x
  2. Step 2: Convert to fraction form
    277.22/414.08 = 231.63/x
  3. Step 3: Cross multiply
    277.22x = 414.08 × 231.63
  4. Step 4: Simplify right side
    277.22x = 95,911.51
  5. Step 5: Solve for x
    x = 95,911.51/277.22
  6. Step 6: Final answer
    x = 345.97

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.