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Finding the Fourth Proportional to 360.66, 540.76 and 198.45

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Solution

The fourth proportional to 360.66, 540.76 and 198.45 is: 297.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    360.66 : 540.76 = 198.45 : x
  2. Step 2: Convert to fraction form
    360.66/540.76 = 198.45/x
  3. Step 3: Cross multiply
    360.66x = 540.76 × 198.45
  4. Step 4: Simplify right side
    360.66x = 107,313.82
  5. Step 5: Solve for x
    x = 107,313.82/360.66
  6. Step 6: Final answer
    x = 297.55

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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.