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Finding the Fourth Proportional to 238.15, 328.56 and 149.60

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Solution

The fourth proportional to 238.15, 328.56 and 149.60 is: 206.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    238.15 : 328.56 = 149.60 : x
  2. Step 2: Convert to fraction form
    238.15/328.56 = 149.60/x
  3. Step 3: Cross multiply
    238.15x = 328.56 × 149.60
  4. Step 4: Simplify right side
    238.15x = 49,150.99
  5. Step 5: Solve for x
    x = 49,150.99/238.15
  6. Step 6: Final answer
    x = 206.39

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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.