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Finding the Fourth Proportional to 277.96, 416.50 and 252.16

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Solution

The fourth proportional to 277.96, 416.50 and 252.16 is: 377.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    277.96 : 416.50 = 252.16 : x
  2. Step 2: Convert to fraction form
    277.96/416.50 = 252.16/x
  3. Step 3: Cross multiply
    277.96x = 416.50 × 252.16
  4. Step 4: Simplify right side
    277.96x = 105,024.64
  5. Step 5: Solve for x
    x = 105,024.64/277.96
  6. Step 6: Final answer
    x = 377.84

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.