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Finding the Fourth Proportional to 277.06, 414.96 and 231.16

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Solution

The fourth proportional to 277.06, 414.96 and 231.16 is: 346.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    277.06 : 414.96 = 231.16 : x
  2. Step 2: Convert to fraction form
    277.06/414.96 = 231.16/x
  3. Step 3: Cross multiply
    277.06x = 414.96 × 231.16
  4. Step 4: Simplify right side
    277.06x = 95,922.15
  5. Step 5: Solve for x
    x = 95,922.15/277.06
  6. Step 6: Final answer
    x = 346.21

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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.