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Finding the Fourth Proportional to 360.10, 539.98 and 165.05

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Solution

The fourth proportional to 360.10, 539.98 and 165.05 is: 247.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    360.10 : 539.98 = 165.05 : x
  2. Step 2: Convert to fraction form
    360.10/539.98 = 165.05/x
  3. Step 3: Cross multiply
    360.10x = 539.98 × 165.05
  4. Step 4: Simplify right side
    360.10x = 89,123.70
  5. Step 5: Solve for x
    x = 89,123.70/360.10
  6. Step 6: Final answer
    x = 247.50

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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.