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Finding the Fourth Proportional to 233.01, 321.44 and 155.25

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Solution

The fourth proportional to 233.01, 321.44 and 155.25 is: 214.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    233.01 : 321.44 = 155.25 : x
  2. Step 2: Convert to fraction form
    233.01/321.44 = 155.25/x
  3. Step 3: Cross multiply
    233.01x = 321.44 × 155.25
  4. Step 4: Simplify right side
    233.01x = 49,902.78
  5. Step 5: Solve for x
    x = 49,902.78/233.01
  6. Step 6: Final answer
    x = 214.17

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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.