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Finding the Fourth Proportional to 238.50, 329.13 and 146.50

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Solution

The fourth proportional to 238.50, 329.13 and 146.50 is: 202.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    238.50 : 329.13 = 146.50 : x
  2. Step 2: Convert to fraction form
    238.50/329.13 = 146.50/x
  3. Step 3: Cross multiply
    238.50x = 329.13 × 146.50
  4. Step 4: Simplify right side
    238.50x = 48,217.55
  5. Step 5: Solve for x
    x = 48,217.55/238.50
  6. Step 6: Final answer
    x = 202.17

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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.