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Finding the Fourth Proportional to 277.69, 416.60 and 140.68

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Solution

The fourth proportional to 277.69, 416.60 and 140.68 is: 211.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    277.69 : 416.60 = 140.68 : x
  2. Step 2: Convert to fraction form
    277.69/416.60 = 140.68/x
  3. Step 3: Cross multiply
    277.69x = 416.60 × 140.68
  4. Step 4: Simplify right side
    277.69x = 58,607.29
  5. Step 5: Solve for x
    x = 58,607.29/277.69
  6. Step 6: Final answer
    x = 211.05

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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.