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Finding the Fourth Proportional to 360.29, 540.67 and 198.08

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Solution

The fourth proportional to 360.29, 540.67 and 198.08 is: 297.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    360.29 : 540.67 = 198.08 : x
  2. Step 2: Convert to fraction form
    360.29/540.67 = 198.08/x
  3. Step 3: Cross multiply
    360.29x = 540.67 × 198.08
  4. Step 4: Simplify right side
    360.29x = 107,096.77
  5. Step 5: Solve for x
    x = 107,096.77/360.29
  6. Step 6: Final answer
    x = 297.26

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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.