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Finding the Fourth Proportional to 277.90, 416.49 and 140.87

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Solution

The fourth proportional to 277.90, 416.49 and 140.87 is: 211.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    277.90 : 416.49 = 140.87 : x
  2. Step 2: Convert to fraction form
    277.90/416.49 = 140.87/x
  3. Step 3: Cross multiply
    277.90x = 416.49 × 140.87
  4. Step 4: Simplify right side
    277.90x = 58,670.95
  5. Step 5: Solve for x
    x = 58,670.95/277.90
  6. Step 6: Final answer
    x = 211.12

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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.