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Finding the Fourth Proportional to 173.84, 259.22 and 155.61

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Solution

The fourth proportional to 173.84, 259.22 and 155.61 is: 232.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    173.84 : 259.22 = 155.61 : x
  2. Step 2: Convert to fraction form
    173.84/259.22 = 155.61/x
  3. Step 3: Cross multiply
    173.84x = 259.22 × 155.61
  4. Step 4: Simplify right side
    173.84x = 40,337.61
  5. Step 5: Solve for x
    x = 40,337.61/173.84
  6. Step 6: Final answer
    x = 232.05

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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.