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Finding the Fourth Proportional to 277.87, 383.40 and 179.62

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Solution

The fourth proportional to 277.87, 383.40 and 179.62 is: 247.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    277.87 : 383.40 = 179.62 : x
  2. Step 2: Convert to fraction form
    277.87/383.40 = 179.62/x
  3. Step 3: Cross multiply
    277.87x = 383.40 × 179.62
  4. Step 4: Simplify right side
    277.87x = 68,866.31
  5. Step 5: Solve for x
    x = 68,866.31/277.87
  6. Step 6: Final answer
    x = 247.84

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.