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Finding the Fourth Proportional to 238.76, 329.46 and 151.40

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Solution

The fourth proportional to 238.76, 329.46 and 151.40 is: 208.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    238.76 : 329.46 = 151.40 : x
  2. Step 2: Convert to fraction form
    238.76/329.46 = 151.40/x
  3. Step 3: Cross multiply
    238.76x = 329.46 × 151.40
  4. Step 4: Simplify right side
    238.76x = 49,880.24
  5. Step 5: Solve for x
    x = 49,880.24/238.76
  6. Step 6: Final answer
    x = 208.91

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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.