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Finding the Fourth Proportional to 277.81, 384.10 and 231.16

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Solution

The fourth proportional to 277.81, 384.10 and 231.16 is: 319.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    277.81 : 384.10 = 231.16 : x
  2. Step 2: Convert to fraction form
    277.81/384.10 = 231.16/x
  3. Step 3: Cross multiply
    277.81x = 384.10 × 231.16
  4. Step 4: Simplify right side
    277.81x = 88,788.56
  5. Step 5: Solve for x
    x = 88,788.56/277.81
  6. Step 6: Final answer
    x = 319.61

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.