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Finding the Fourth Proportional to 365.84, 548.85 and 173.42

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Solution

The fourth proportional to 365.84, 548.85 and 173.42 is: 260.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    365.84 : 548.85 = 173.42 : x
  2. Step 2: Convert to fraction form
    365.84/548.85 = 173.42/x
  3. Step 3: Cross multiply
    365.84x = 548.85 × 173.42
  4. Step 4: Simplify right side
    365.84x = 95,181.57
  5. Step 5: Solve for x
    x = 95,181.57/365.84
  6. Step 6: Final answer
    x = 260.17

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.