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Finding the Fourth Proportional to 661.70, 992.38 and 222.96

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Solution

The fourth proportional to 661.70, 992.38 and 222.96 is: 334.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    661.70 : 992.38 = 222.96 : x
  2. Step 2: Convert to fraction form
    661.70/992.38 = 222.96/x
  3. Step 3: Cross multiply
    661.70x = 992.38 × 222.96
  4. Step 4: Simplify right side
    661.70x = 221,261.04
  5. Step 5: Solve for x
    x = 221,261.04/661.70
  6. Step 6: Final answer
    x = 334.38

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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.