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Finding the Fourth Proportional to 277.55, 416.33 and 115.24

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Solution

The fourth proportional to 277.55, 416.33 and 115.24 is: 172.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    277.55 : 416.33 = 115.24 : x
  2. Step 2: Convert to fraction form
    277.55/416.33 = 115.24/x
  3. Step 3: Cross multiply
    277.55x = 416.33 × 115.24
  4. Step 4: Simplify right side
    277.55x = 47,975.79
  5. Step 5: Solve for x
    x = 47,975.79/277.55
  6. Step 6: Final answer
    x = 172.85

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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.