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Finding the Fourth Proportional to 401.35, 601.57 and 169.90

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Solution

The fourth proportional to 401.35, 601.57 and 169.90 is: 254.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    401.35 : 601.57 = 169.90 : x
  2. Step 2: Convert to fraction form
    401.35/601.57 = 169.90/x
  3. Step 3: Cross multiply
    401.35x = 601.57 × 169.90
  4. Step 4: Simplify right side
    401.35x = 102,206.74
  5. Step 5: Solve for x
    x = 102,206.74/401.35
  6. Step 6: Final answer
    x = 254.66

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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.