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Finding the Fourth Proportional to 277.63, 416.00 and 140.81

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Solution

The fourth proportional to 277.63, 416.00 and 140.81 is: 210.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    277.63 : 416.00 = 140.81 : x
  2. Step 2: Convert to fraction form
    277.63/416.00 = 140.81/x
  3. Step 3: Cross multiply
    277.63x = 416.00 × 140.81
  4. Step 4: Simplify right side
    277.63x = 58,575.23
  5. Step 5: Solve for x
    x = 58,575.23/277.63
  6. Step 6: Final answer
    x = 210.98

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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.