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Finding the Fourth Proportional to 277.68, 416.16 and 209.64

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Solution

The fourth proportional to 277.68, 416.16 and 209.64 is: 314.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    277.68 : 416.16 = 209.64 : x
  2. Step 2: Convert to fraction form
    277.68/416.16 = 209.64/x
  3. Step 3: Cross multiply
    277.68x = 416.16 × 209.64
  4. Step 4: Simplify right side
    277.68x = 87,243.78
  5. Step 5: Solve for x
    x = 87,243.78/277.68
  6. Step 6: Final answer
    x = 314.19

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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.