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Finding the Fourth Proportional to 360.42, 540.61 and 165.30

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Solution

The fourth proportional to 360.42, 540.61 and 165.30 is: 247.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    360.42 : 540.61 = 165.30 : x
  2. Step 2: Convert to fraction form
    360.42/540.61 = 165.30/x
  3. Step 3: Cross multiply
    360.42x = 540.61 × 165.30
  4. Step 4: Simplify right side
    360.42x = 89,362.83
  5. Step 5: Solve for x
    x = 89,362.83/360.42
  6. Step 6: Final answer
    x = 247.94

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.