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Finding the Fourth Proportional to 277.34, 415.63 and 140.05

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Solution

The fourth proportional to 277.34, 415.63 and 140.05 is: 209.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    277.34 : 415.63 = 140.05 : x
  2. Step 2: Convert to fraction form
    277.34/415.63 = 140.05/x
  3. Step 3: Cross multiply
    277.34x = 415.63 × 140.05
  4. Step 4: Simplify right side
    277.34x = 58,207.34
  5. Step 5: Solve for x
    x = 58,207.34/277.34
  6. Step 6: Final answer
    x = 209.88

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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.