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Finding the Fourth Proportional to 403.91, 605.80 and 160.19

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Solution

The fourth proportional to 403.91, 605.80 and 160.19 is: 240.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    403.91 : 605.80 = 160.19 : x
  2. Step 2: Convert to fraction form
    403.91/605.80 = 160.19/x
  3. Step 3: Cross multiply
    403.91x = 605.80 × 160.19
  4. Step 4: Simplify right side
    403.91x = 97,043.10
  5. Step 5: Solve for x
    x = 97,043.10/403.91
  6. Step 6: Final answer
    x = 240.26

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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.