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Finding the Fourth Proportional to 233.14, 321.83 and 150.25

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Solution

The fourth proportional to 233.14, 321.83 and 150.25 is: 207.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    233.14 : 321.83 = 150.25 : x
  2. Step 2: Convert to fraction form
    233.14/321.83 = 150.25/x
  3. Step 3: Cross multiply
    233.14x = 321.83 × 150.25
  4. Step 4: Simplify right side
    233.14x = 48,354.21
  5. Step 5: Solve for x
    x = 48,354.21/233.14
  6. Step 6: Final answer
    x = 207.40

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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.