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Finding the Fourth Proportional to 277.42, 416.15 and 94.80

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Solution

The fourth proportional to 277.42, 416.15 and 94.80 is: 142.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    277.42 : 416.15 = 94.80 : x
  2. Step 2: Convert to fraction form
    277.42/416.15 = 94.80/x
  3. Step 3: Cross multiply
    277.42x = 416.15 × 94.80
  4. Step 4: Simplify right side
    277.42x = 39,451.02
  5. Step 5: Solve for x
    x = 39,451.02/277.42
  6. Step 6: Final answer
    x = 142.21

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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.