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Finding the Fourth Proportional to 277.40, 382.63 and 166.91

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Solution

The fourth proportional to 277.40, 382.63 and 166.91 is: 230.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    277.40 : 382.63 = 166.91 : x
  2. Step 2: Convert to fraction form
    277.40/382.63 = 166.91/x
  3. Step 3: Cross multiply
    277.40x = 382.63 × 166.91
  4. Step 4: Simplify right side
    277.40x = 63,862.44
  5. Step 5: Solve for x
    x = 63,862.44/277.40
  6. Step 6: Final answer
    x = 230.22

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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.