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Finding the Fourth Proportional to 277.34, 382.64 and 166.78

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Solution

The fourth proportional to 277.34, 382.64 and 166.78 is: 230.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    277.34 : 382.64 = 166.78 : x
  2. Step 2: Convert to fraction form
    277.34/382.64 = 166.78/x
  3. Step 3: Cross multiply
    277.34x = 382.64 × 166.78
  4. Step 4: Simplify right side
    277.34x = 63,815.13
  5. Step 5: Solve for x
    x = 63,815.13/277.34
  6. Step 6: Final answer
    x = 230.10

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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.