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Finding the Fourth Proportional to 313.66, 432.84 and 173.78

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Solution

The fourth proportional to 313.66, 432.84 and 173.78 is: 239.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    313.66 : 432.84 = 173.78 : x
  2. Step 2: Convert to fraction form
    313.66/432.84 = 173.78/x
  3. Step 3: Cross multiply
    313.66x = 432.84 × 173.78
  4. Step 4: Simplify right side
    313.66x = 75,218.94
  5. Step 5: Solve for x
    x = 75,218.94/313.66
  6. Step 6: Final answer
    x = 239.81

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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.