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Finding the Fourth Proportional to 277.75, 383.45 and 167.25

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Solution

The fourth proportional to 277.75, 383.45 and 167.25 is: 230.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    277.75 : 383.45 = 167.25 : x
  2. Step 2: Convert to fraction form
    277.75/383.45 = 167.25/x
  3. Step 3: Cross multiply
    277.75x = 383.45 × 167.25
  4. Step 4: Simplify right side
    277.75x = 64,132.01
  5. Step 5: Solve for x
    x = 64,132.01/277.75
  6. Step 6: Final answer
    x = 230.90

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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.