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Finding the Fourth Proportional to 238.70, 329.21 and 155.77

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Solution

The fourth proportional to 238.70, 329.21 and 155.77 is: 214.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    238.70 : 329.21 = 155.77 : x
  2. Step 2: Convert to fraction form
    238.70/329.21 = 155.77/x
  3. Step 3: Cross multiply
    238.70x = 329.21 × 155.77
  4. Step 4: Simplify right side
    238.70x = 51,281.04
  5. Step 5: Solve for x
    x = 51,281.04/238.70
  6. Step 6: Final answer
    x = 214.83

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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.