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Finding the Fourth Proportional to 402.85, 603.75 and 159.04

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Solution

The fourth proportional to 402.85, 603.75 and 159.04 is: 238.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    402.85 : 603.75 = 159.04 : x
  2. Step 2: Convert to fraction form
    402.85/603.75 = 159.04/x
  3. Step 3: Cross multiply
    402.85x = 603.75 × 159.04
  4. Step 4: Simplify right side
    402.85x = 96,020.40
  5. Step 5: Solve for x
    x = 96,020.40/402.85
  6. Step 6: Final answer
    x = 238.35

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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.