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Finding the Fourth Proportional to 403.29, 605.12 and 186.81

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Solution

The fourth proportional to 403.29, 605.12 and 186.81 is: 280.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    403.29 : 605.12 = 186.81 : x
  2. Step 2: Convert to fraction form
    403.29/605.12 = 186.81/x
  3. Step 3: Cross multiply
    403.29x = 605.12 × 186.81
  4. Step 4: Simplify right side
    403.29x = 113,041.53
  5. Step 5: Solve for x
    x = 113,041.53/403.29
  6. Step 6: Final answer
    x = 280.30

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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.