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Finding the Fourth Proportional to 254.84, 381.78 and 209.48

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Solution

The fourth proportional to 254.84, 381.78 and 209.48 is: 313.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    254.84 : 381.78 = 209.48 : x
  2. Step 2: Convert to fraction form
    254.84/381.78 = 209.48/x
  3. Step 3: Cross multiply
    254.84x = 381.78 × 209.48
  4. Step 4: Simplify right side
    254.84x = 79,973.37
  5. Step 5: Solve for x
    x = 79,973.37/254.84
  6. Step 6: Final answer
    x = 313.82

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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.