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Finding the Fourth Proportional to 148.83, 223.05 and 110.40

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Solution

The fourth proportional to 148.83, 223.05 and 110.40 is: 165.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    148.83 : 223.05 = 110.40 : x
  2. Step 2: Convert to fraction form
    148.83/223.05 = 110.40/x
  3. Step 3: Cross multiply
    148.83x = 223.05 × 110.40
  4. Step 4: Simplify right side
    148.83x = 24,624.72
  5. Step 5: Solve for x
    x = 24,624.72/148.83
  6. Step 6: Final answer
    x = 165.46

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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.