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Finding the Fourth Proportional to 173.20, 233.10 and 173.20

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Solution

The fourth proportional to 173.20, 233.10 and 173.20 is: 233.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    173.20 : 233.10 = 173.20 : x
  2. Step 2: Convert to fraction form
    173.20/233.10 = 173.20/x
  3. Step 3: Cross multiply
    173.20x = 233.10 × 173.20
  4. Step 4: Simplify right side
    173.20x = 40,372.92
  5. Step 5: Solve for x
    x = 40,372.92/173.20
  6. Step 6: Final answer
    x = 233.10

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.