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Finding the Fourth Proportional to 148.34, 222.26 and 109.76

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Solution

The fourth proportional to 148.34, 222.26 and 109.76 is: 164.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    148.34 : 222.26 = 109.76 : x
  2. Step 2: Convert to fraction form
    148.34/222.26 = 109.76/x
  3. Step 3: Cross multiply
    148.34x = 222.26 × 109.76
  4. Step 4: Simplify right side
    148.34x = 24,395.26
  5. Step 5: Solve for x
    x = 24,395.26/148.34
  6. Step 6: Final answer
    x = 164.46

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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.