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Finding the Fourth Proportional to 198.05, 297.33 and 152.43

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Solution

The fourth proportional to 198.05, 297.33 and 152.43 is: 228.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    198.05 : 297.33 = 152.43 : x
  2. Step 2: Convert to fraction form
    198.05/297.33 = 152.43/x
  3. Step 3: Cross multiply
    198.05x = 297.33 × 152.43
  4. Step 4: Simplify right side
    198.05x = 45,322.01
  5. Step 5: Solve for x
    x = 45,322.01/198.05
  6. Step 6: Final answer
    x = 228.84

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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.