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Finding the Fourth Proportional to 239.25, 358.77 and 102.24

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Solution

The fourth proportional to 239.25, 358.77 and 102.24 is: 153.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    239.25 : 358.77 = 102.24 : x
  2. Step 2: Convert to fraction form
    239.25/358.77 = 102.24/x
  3. Step 3: Cross multiply
    239.25x = 358.77 × 102.24
  4. Step 4: Simplify right side
    239.25x = 36,680.64
  5. Step 5: Solve for x
    x = 36,680.64/239.25
  6. Step 6: Final answer
    x = 153.32

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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.