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Finding the Fourth Proportional to 403.88, 605.88 and 157.07

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Solution

The fourth proportional to 403.88, 605.88 and 157.07 is: 235.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    403.88 : 605.88 = 157.07 : x
  2. Step 2: Convert to fraction form
    403.88/605.88 = 157.07/x
  3. Step 3: Cross multiply
    403.88x = 605.88 × 157.07
  4. Step 4: Simplify right side
    403.88x = 95,162.54
  5. Step 5: Solve for x
    x = 95,162.54/403.88
  6. Step 6: Final answer
    x = 235.62

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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.