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Finding the Fourth Proportional to 255.23, 381.10 and 209.66

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Solution

The fourth proportional to 255.23, 381.10 and 209.66 is: 313.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    255.23 : 381.10 = 209.66 : x
  2. Step 2: Convert to fraction form
    255.23/381.10 = 209.66/x
  3. Step 3: Cross multiply
    255.23x = 381.10 × 209.66
  4. Step 4: Simplify right side
    255.23x = 79,901.43
  5. Step 5: Solve for x
    x = 79,901.43/255.23
  6. Step 6: Final answer
    x = 313.06

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.