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Finding the Fourth Proportional to 277.12, 382.32 and 208.24

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Solution

The fourth proportional to 277.12, 382.32 and 208.24 is: 287.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    277.12 : 382.32 = 208.24 : x
  2. Step 2: Convert to fraction form
    277.12/382.32 = 208.24/x
  3. Step 3: Cross multiply
    277.12x = 382.32 × 208.24
  4. Step 4: Simplify right side
    277.12x = 79,614.32
  5. Step 5: Solve for x
    x = 79,614.32/277.12
  6. Step 6: Final answer
    x = 287.29

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.