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Finding the Fourth Proportional to 353.94, 531.00 and 110.45

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Solution

The fourth proportional to 353.94, 531.00 and 110.45 is: 165.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    353.94 : 531.00 = 110.45 : x
  2. Step 2: Convert to fraction form
    353.94/531.00 = 110.45/x
  3. Step 3: Cross multiply
    353.94x = 531.00 × 110.45
  4. Step 4: Simplify right side
    353.94x = 58,648.40
  5. Step 5: Solve for x
    x = 58,648.40/353.94
  6. Step 6: Final answer
    x = 165.70

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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.