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Finding the Fourth Proportional to 354.78, 531.72 and 162

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Solution

The fourth proportional to 354.78, 531.72 and 162 is: 242.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    354.78 : 531.72 = 162 : x
  2. Step 2: Convert to fraction form
    354.78/531.72 = 162/x
  3. Step 3: Cross multiply
    354.78x = 531.72 × 162
  4. Step 4: Simplify right side
    354.78x = 86,138.64
  5. Step 5: Solve for x
    x = 86,138.64/354.78
  6. Step 6: Final answer
    x = 242.79

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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.