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Finding the Fourth Proportional to 239.30, 359.06 and 102.36

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Solution

The fourth proportional to 239.30, 359.06 and 102.36 is: 153.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    239.30 : 359.06 = 102.36 : x
  2. Step 2: Convert to fraction form
    239.30/359.06 = 102.36/x
  3. Step 3: Cross multiply
    239.30x = 359.06 × 102.36
  4. Step 4: Simplify right side
    239.30x = 36,752.87
  5. Step 5: Solve for x
    x = 36,752.87/239.30
  6. Step 6: Final answer
    x = 153.59

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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.