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Finding the Fourth Proportional to 661.67, 992.55 and 222.92

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Solution

The fourth proportional to 661.67, 992.55 and 222.92 is: 334.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    661.67 : 992.55 = 222.92 : x
  2. Step 2: Convert to fraction form
    661.67/992.55 = 222.92/x
  3. Step 3: Cross multiply
    661.67x = 992.55 × 222.92
  4. Step 4: Simplify right side
    661.67x = 221,253.17
  5. Step 5: Solve for x
    x = 221,253.17/661.67
  6. Step 6: Final answer
    x = 334.39

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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.