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Finding the Fourth Proportional to 354.26, 531.12 and 162.02

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Solution

The fourth proportional to 354.26, 531.12 and 162.02 is: 242.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    354.26 : 531.12 = 162.02 : x
  2. Step 2: Convert to fraction form
    354.26/531.12 = 162.02/x
  3. Step 3: Cross multiply
    354.26x = 531.12 × 162.02
  4. Step 4: Simplify right side
    354.26x = 86,052.06
  5. Step 5: Solve for x
    x = 86,052.06/354.26
  6. Step 6: Final answer
    x = 242.91

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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.