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Finding the Fourth Proportional to 661.94, 992.94 and 229.16

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Solution

The fourth proportional to 661.94, 992.94 and 229.16 is: 343.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    661.94 : 992.94 = 229.16 : x
  2. Step 2: Convert to fraction form
    661.94/992.94 = 229.16/x
  3. Step 3: Cross multiply
    661.94x = 992.94 × 229.16
  4. Step 4: Simplify right side
    661.94x = 227,542.13
  5. Step 5: Solve for x
    x = 227,542.13/661.94
  6. Step 6: Final answer
    x = 343.75

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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.