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Finding the Fourth Proportional to 313.54, 432.65 and 173.66

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Solution

The fourth proportional to 313.54, 432.65 and 173.66 is: 239.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    313.54 : 432.65 = 173.66 : x
  2. Step 2: Convert to fraction form
    313.54/432.65 = 173.66/x
  3. Step 3: Cross multiply
    313.54x = 432.65 × 173.66
  4. Step 4: Simplify right side
    313.54x = 75,134.00
  5. Step 5: Solve for x
    x = 75,134.00/313.54
  6. Step 6: Final answer
    x = 239.63

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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.