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Finding the Fourth Proportional to 277.42, 382.82 and 166.86

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Solution

The fourth proportional to 277.42, 382.82 and 166.86 is: 230.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    277.42 : 382.82 = 166.86 : x
  2. Step 2: Convert to fraction form
    277.42/382.82 = 166.86/x
  3. Step 3: Cross multiply
    277.42x = 382.82 × 166.86
  4. Step 4: Simplify right side
    277.42x = 63,877.35
  5. Step 5: Solve for x
    x = 63,877.35/277.42
  6. Step 6: Final answer
    x = 230.26

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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.