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Finding the Fourth Proportional to 277.02, 381.51 and 241.92

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Solution

The fourth proportional to 277.02, 381.51 and 241.92 is: 333.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    277.02 : 381.51 = 241.92 : x
  2. Step 2: Convert to fraction form
    277.02/381.51 = 241.92/x
  3. Step 3: Cross multiply
    277.02x = 381.51 × 241.92
  4. Step 4: Simplify right side
    277.02x = 92,294.90
  5. Step 5: Solve for x
    x = 92,294.90/277.02
  6. Step 6: Final answer
    x = 333.17

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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.