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Finding the Fourth Proportional to 238.04, 328.38 and 149.63

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Solution

The fourth proportional to 238.04, 328.38 and 149.63 is: 206.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    238.04 : 328.38 = 149.63 : x
  2. Step 2: Convert to fraction form
    238.04/328.38 = 149.63/x
  3. Step 3: Cross multiply
    238.04x = 328.38 × 149.63
  4. Step 4: Simplify right side
    238.04x = 49,136.88
  5. Step 5: Solve for x
    x = 49,136.88/238.04
  6. Step 6: Final answer
    x = 206.42

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.