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Finding the Fourth Proportional to 232.84, 321.42 and 155.08

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Solution

The fourth proportional to 232.84, 321.42 and 155.08 is: 214.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    232.84 : 321.42 = 155.08 : x
  2. Step 2: Convert to fraction form
    232.84/321.42 = 155.08/x
  3. Step 3: Cross multiply
    232.84x = 321.42 × 155.08
  4. Step 4: Simplify right side
    232.84x = 49,845.81
  5. Step 5: Solve for x
    x = 49,845.81/232.84
  6. Step 6: Final answer
    x = 214.08

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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.