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Finding the Fourth Proportional to 403.43, 605.16 and 114.87

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Solution

The fourth proportional to 403.43, 605.16 and 114.87 is: 172.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    403.43 : 605.16 = 114.87 : x
  2. Step 2: Convert to fraction form
    403.43/605.16 = 114.87/x
  3. Step 3: Cross multiply
    403.43x = 605.16 × 114.87
  4. Step 4: Simplify right side
    403.43x = 69,514.15
  5. Step 5: Solve for x
    x = 69,514.15/403.43
  6. Step 6: Final answer
    x = 172.31

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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.