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Finding the Fourth Proportional to 233.52, 321.96 and 146.04

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Solution

The fourth proportional to 233.52, 321.96 and 146.04 is: 201.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    233.52 : 321.96 = 146.04 : x
  2. Step 2: Convert to fraction form
    233.52/321.96 = 146.04/x
  3. Step 3: Cross multiply
    233.52x = 321.96 × 146.04
  4. Step 4: Simplify right side
    233.52x = 47,019.04
  5. Step 5: Solve for x
    x = 47,019.04/233.52
  6. Step 6: Final answer
    x = 201.35

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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.