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Finding the Fourth Proportional to 238.22, 328.60 and 150.95

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Solution

The fourth proportional to 238.22, 328.60 and 150.95 is: 208.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    238.22 : 328.60 = 150.95 : x
  2. Step 2: Convert to fraction form
    238.22/328.60 = 150.95/x
  3. Step 3: Cross multiply
    238.22x = 328.60 × 150.95
  4. Step 4: Simplify right side
    238.22x = 49,600.72
  5. Step 5: Solve for x
    x = 49,600.72/238.22
  6. Step 6: Final answer
    x = 208.21

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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.