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Finding the Fourth Proportional to 661.50, 992.13 and 223.05

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Solution

The fourth proportional to 661.50, 992.13 and 223.05 is: 334.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    661.50 : 992.13 = 223.05 : x
  2. Step 2: Convert to fraction form
    661.50/992.13 = 223.05/x
  3. Step 3: Cross multiply
    661.50x = 992.13 × 223.05
  4. Step 4: Simplify right side
    661.50x = 221,298.74
  5. Step 5: Solve for x
    x = 221,298.74/661.50
  6. Step 6: Final answer
    x = 334.54

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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.