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Finding the Fourth Proportional to 403.47, 605.02 and 159.83

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Solution

The fourth proportional to 403.47, 605.02 and 159.83 is: 239.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    403.47 : 605.02 = 159.83 : x
  2. Step 2: Convert to fraction form
    403.47/605.02 = 159.83/x
  3. Step 3: Cross multiply
    403.47x = 605.02 × 159.83
  4. Step 4: Simplify right side
    403.47x = 96,699.49
  5. Step 5: Solve for x
    x = 96,699.49/403.47
  6. Step 6: Final answer
    x = 239.67

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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.