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Finding the Fourth Proportional to 402.19, 602.77 and 170.81

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Solution

The fourth proportional to 402.19, 602.77 and 170.81 is: 255.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    402.19 : 602.77 = 170.81 : x
  2. Step 2: Convert to fraction form
    402.19/602.77 = 170.81/x
  3. Step 3: Cross multiply
    402.19x = 602.77 × 170.81
  4. Step 4: Simplify right side
    402.19x = 102,956.34
  5. Step 5: Solve for x
    x = 102,956.34/402.19
  6. Step 6: Final answer
    x = 255.99

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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.