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Finding the Fourth Proportional to 277.46, 382.87 and 167.00

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Solution

The fourth proportional to 277.46, 382.87 and 167.00 is: 230.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    277.46 : 382.87 = 167.00 : x
  2. Step 2: Convert to fraction form
    277.46/382.87 = 167.00/x
  3. Step 3: Cross multiply
    277.46x = 382.87 × 167.00
  4. Step 4: Simplify right side
    277.46x = 63,936.96
  5. Step 5: Solve for x
    x = 63,936.96/277.46
  6. Step 6: Final answer
    x = 230.44

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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.