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Finding the Fourth Proportional to 313.23, 432.27 and 173.36

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Solution

The fourth proportional to 313.23, 432.27 and 173.36 is: 239.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    313.23 : 432.27 = 173.36 : x
  2. Step 2: Convert to fraction form
    313.23/432.27 = 173.36/x
  3. Step 3: Cross multiply
    313.23x = 432.27 × 173.36
  4. Step 4: Simplify right side
    313.23x = 74,938.97
  5. Step 5: Solve for x
    x = 74,938.97/313.23
  6. Step 6: Final answer
    x = 239.24

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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.