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Finding the Fourth Proportional to 239.82, 360.24 and 148.59

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Solution

The fourth proportional to 239.82, 360.24 and 148.59 is: 223.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    239.82 : 360.24 = 148.59 : x
  2. Step 2: Convert to fraction form
    239.82/360.24 = 148.59/x
  3. Step 3: Cross multiply
    239.82x = 360.24 × 148.59
  4. Step 4: Simplify right side
    239.82x = 53,528.06
  5. Step 5: Solve for x
    x = 53,528.06/239.82
  6. Step 6: Final answer
    x = 223.20

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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.