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Finding the Fourth Proportional to 277.73, 383.19 and 167.15

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Solution

The fourth proportional to 277.73, 383.19 and 167.15 is: 230.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    277.73 : 383.19 = 167.15 : x
  2. Step 2: Convert to fraction form
    277.73/383.19 = 167.15/x
  3. Step 3: Cross multiply
    277.73x = 383.19 × 167.15
  4. Step 4: Simplify right side
    277.73x = 64,050.21
  5. Step 5: Solve for x
    x = 64,050.21/277.73
  6. Step 6: Final answer
    x = 230.62

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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.