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Finding the Fourth Proportional to 402.01, 603.18 and 170.95

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Solution

The fourth proportional to 402.01, 603.18 and 170.95 is: 256.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    402.01 : 603.18 = 170.95 : x
  2. Step 2: Convert to fraction form
    402.01/603.18 = 170.95/x
  3. Step 3: Cross multiply
    402.01x = 603.18 × 170.95
  4. Step 4: Simplify right side
    402.01x = 103,112.77
  5. Step 5: Solve for x
    x = 103,112.77/402.01
  6. Step 6: Final answer
    x = 256.49

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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.