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Finding the Fourth Proportional to 277.92, 383.31 and 189.45

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Solution

The fourth proportional to 277.92, 383.31 and 189.45 is: 261.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    277.92 : 383.31 = 189.45 : x
  2. Step 2: Convert to fraction form
    277.92/383.31 = 189.45/x
  3. Step 3: Cross multiply
    277.92x = 383.31 × 189.45
  4. Step 4: Simplify right side
    277.92x = 72,618.08
  5. Step 5: Solve for x
    x = 72,618.08/277.92
  6. Step 6: Final answer
    x = 261.29

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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.