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Finding the Fourth Proportional to 173.46, 258.54 and 165.84

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Solution

The fourth proportional to 173.46, 258.54 and 165.84 is: 247.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    173.46 : 258.54 = 165.84 : x
  2. Step 2: Convert to fraction form
    173.46/258.54 = 165.84/x
  3. Step 3: Cross multiply
    173.46x = 258.54 × 165.84
  4. Step 4: Simplify right side
    173.46x = 42,874.68
  5. Step 5: Solve for x
    x = 42,874.68/173.46
  6. Step 6: Final answer
    x = 247.17

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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.