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Finding the Fourth Proportional to 357.69, 493.48 and 200.29

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Solution

The fourth proportional to 357.69, 493.48 and 200.29 is: 276.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    357.69 : 493.48 = 200.29 : x
  2. Step 2: Convert to fraction form
    357.69/493.48 = 200.29/x
  3. Step 3: Cross multiply
    357.69x = 493.48 × 200.29
  4. Step 4: Simplify right side
    357.69x = 98,839.11
  5. Step 5: Solve for x
    x = 98,839.11/357.69
  6. Step 6: Final answer
    x = 276.33

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.