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Finding the Fourth Proportional to 233.35, 321.98 and 145.98

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Solution

The fourth proportional to 233.35, 321.98 and 145.98 is: 201.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    233.35 : 321.98 = 145.98 : x
  2. Step 2: Convert to fraction form
    233.35/321.98 = 145.98/x
  3. Step 3: Cross multiply
    233.35x = 321.98 × 145.98
  4. Step 4: Simplify right side
    233.35x = 47,001.91
  5. Step 5: Solve for x
    x = 47,001.91/233.35
  6. Step 6: Final answer
    x = 201.42

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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.