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Finding the Fourth Proportional to 369.46, 553.83 and 164.08

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Solution

The fourth proportional to 369.46, 553.83 and 164.08 is: 245.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    369.46 : 553.83 = 164.08 : x
  2. Step 2: Convert to fraction form
    369.46/553.83 = 164.08/x
  3. Step 3: Cross multiply
    369.46x = 553.83 × 164.08
  4. Step 4: Simplify right side
    369.46x = 90,872.43
  5. Step 5: Solve for x
    x = 90,872.43/369.46
  6. Step 6: Final answer
    x = 245.96

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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.