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Finding the Fourth Proportional to 402.03, 603 and 158.31

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Solution

The fourth proportional to 402.03, 603 and 158.31 is: 237.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    402.03 : 603 = 158.31 : x
  2. Step 2: Convert to fraction form
    402.03/603 = 158.31/x
  3. Step 3: Cross multiply
    402.03x = 603 × 158.31
  4. Step 4: Simplify right side
    402.03x = 95,460.93
  5. Step 5: Solve for x
    x = 95,460.93/402.03
  6. Step 6: Final answer
    x = 237.45

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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.