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Finding the Fourth Proportional to 277.30, 382.53 and 166.75

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Solution

The fourth proportional to 277.30, 382.53 and 166.75 is: 230.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    277.30 : 382.53 = 166.75 : x
  2. Step 2: Convert to fraction form
    277.30/382.53 = 166.75/x
  3. Step 3: Cross multiply
    277.30x = 382.53 × 166.75
  4. Step 4: Simplify right side
    277.30x = 63,786.88
  5. Step 5: Solve for x
    x = 63,786.88/277.30
  6. Step 6: Final answer
    x = 230.03

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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.