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Finding the Fourth Proportional to 277.46, 415.94 and 140.30

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Solution

The fourth proportional to 277.46, 415.94 and 140.30 is: 210.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    277.46 : 415.94 = 140.30 : x
  2. Step 2: Convert to fraction form
    277.46/415.94 = 140.30/x
  3. Step 3: Cross multiply
    277.46x = 415.94 × 140.30
  4. Step 4: Simplify right side
    277.46x = 58,355.16
  5. Step 5: Solve for x
    x = 58,355.16/277.46
  6. Step 6: Final answer
    x = 210.32

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.