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Finding the Fourth Proportional to 234.02, 350.23 and 147.30

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Solution

The fourth proportional to 234.02, 350.23 and 147.30 is: 220.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    234.02 : 350.23 = 147.30 : x
  2. Step 2: Convert to fraction form
    234.02/350.23 = 147.30/x
  3. Step 3: Cross multiply
    234.02x = 350.23 × 147.30
  4. Step 4: Simplify right side
    234.02x = 51,588.88
  5. Step 5: Solve for x
    x = 51,588.88/234.02
  6. Step 6: Final answer
    x = 220.45

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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.