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Finding the Fourth Proportional to 403.91, 606.18 and 160.46

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Solution

The fourth proportional to 403.91, 606.18 and 160.46 is: 240.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    403.91 : 606.18 = 160.46 : x
  2. Step 2: Convert to fraction form
    403.91/606.18 = 160.46/x
  3. Step 3: Cross multiply
    403.91x = 606.18 × 160.46
  4. Step 4: Simplify right side
    403.91x = 97,266.58
  5. Step 5: Solve for x
    x = 97,266.58/403.91
  6. Step 6: Final answer
    x = 240.81

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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.