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Finding the Fourth Proportional to 661.65, 992.61 and 199.46

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Solution

The fourth proportional to 661.65, 992.61 and 199.46 is: 299.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    661.65 : 992.61 = 199.46 : x
  2. Step 2: Convert to fraction form
    661.65/992.61 = 199.46/x
  3. Step 3: Cross multiply
    661.65x = 992.61 × 199.46
  4. Step 4: Simplify right side
    661.65x = 197,985.99
  5. Step 5: Solve for x
    x = 197,985.99/661.65
  6. Step 6: Final answer
    x = 299.23

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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.