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Finding the Fourth Proportional to 198.22, 297.06 and 102.10

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Solution

The fourth proportional to 198.22, 297.06 and 102.10 is: 153.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    198.22 : 297.06 = 102.10 : x
  2. Step 2: Convert to fraction form
    198.22/297.06 = 102.10/x
  3. Step 3: Cross multiply
    198.22x = 297.06 × 102.10
  4. Step 4: Simplify right side
    198.22x = 30,329.83
  5. Step 5: Solve for x
    x = 30,329.83/198.22
  6. Step 6: Final answer
    x = 153.01

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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.