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Finding the Fourth Proportional to 198.53, 297.69 and 90.30

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Solution

The fourth proportional to 198.53, 297.69 and 90.30 is: 135.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    198.53 : 297.69 = 90.30 : x
  2. Step 2: Convert to fraction form
    198.53/297.69 = 90.30/x
  3. Step 3: Cross multiply
    198.53x = 297.69 × 90.30
  4. Step 4: Simplify right side
    198.53x = 26,881.41
  5. Step 5: Solve for x
    x = 26,881.41/198.53
  6. Step 6: Final answer
    x = 135.41

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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.