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Finding the Fourth Proportional to 661.83, 992.75 and 223

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Solution

The fourth proportional to 661.83, 992.75 and 223 is: 334.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    661.83 : 992.75 = 223 : x
  2. Step 2: Convert to fraction form
    661.83/992.75 = 223/x
  3. Step 3: Cross multiply
    661.83x = 992.75 × 223
  4. Step 4: Simplify right side
    661.83x = 221,383.25
  5. Step 5: Solve for x
    x = 221,383.25/661.83
  6. Step 6: Final answer
    x = 334.50

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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.