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Finding the Fourth Proportional to 403.40, 605.38 and 159.98

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Solution

The fourth proportional to 403.40, 605.38 and 159.98 is: 240.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    403.40 : 605.38 = 159.98 : x
  2. Step 2: Convert to fraction form
    403.40/605.38 = 159.98/x
  3. Step 3: Cross multiply
    403.40x = 605.38 × 159.98
  4. Step 4: Simplify right side
    403.40x = 96,849.81
  5. Step 5: Solve for x
    x = 96,849.81/403.40
  6. Step 6: Final answer
    x = 240.08

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.