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Finding the Fourth Proportional to 402.09, 603.29 and 158.64

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Solution

The fourth proportional to 402.09, 603.29 and 158.64 is: 238.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    402.09 : 603.29 = 158.64 : x
  2. Step 2: Convert to fraction form
    402.09/603.29 = 158.64/x
  3. Step 3: Cross multiply
    402.09x = 603.29 × 158.64
  4. Step 4: Simplify right side
    402.09x = 95,705.93
  5. Step 5: Solve for x
    x = 95,705.93/402.09
  6. Step 6: Final answer
    x = 238.02

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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.