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Finding the Fourth Proportional to 239.46, 360.22 and 148.20

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Solution

The fourth proportional to 239.46, 360.22 and 148.20 is: 222.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    239.46 : 360.22 = 148.20 : x
  2. Step 2: Convert to fraction form
    239.46/360.22 = 148.20/x
  3. Step 3: Cross multiply
    239.46x = 360.22 × 148.20
  4. Step 4: Simplify right side
    239.46x = 53,384.60
  5. Step 5: Solve for x
    x = 53,384.60/239.46
  6. Step 6: Final answer
    x = 222.94

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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.