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Finding the Fourth Proportional to 354.55, 531.33 and 198.23

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Solution

The fourth proportional to 354.55, 531.33 and 198.23 is: 297.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    354.55 : 531.33 = 198.23 : x
  2. Step 2: Convert to fraction form
    354.55/531.33 = 198.23/x
  3. Step 3: Cross multiply
    354.55x = 531.33 × 198.23
  4. Step 4: Simplify right side
    354.55x = 105,329.05
  5. Step 5: Solve for x
    x = 105,329.05/354.55
  6. Step 6: Final answer
    x = 297.08

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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.