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Finding the Fourth Proportional to 277.42, 382.88 and 166.96

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Solution

The fourth proportional to 277.42, 382.88 and 166.96 is: 230.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    277.42 : 382.88 = 166.96 : x
  2. Step 2: Convert to fraction form
    277.42/382.88 = 166.96/x
  3. Step 3: Cross multiply
    277.42x = 382.88 × 166.96
  4. Step 4: Simplify right side
    277.42x = 63,925.64
  5. Step 5: Solve for x
    x = 63,925.64/277.42
  6. Step 6: Final answer
    x = 230.43

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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.