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Finding the Fourth Proportional to 233.02, 321.39 and 145.66

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Solution

The fourth proportional to 233.02, 321.39 and 145.66 is: 200.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    233.02 : 321.39 = 145.66 : x
  2. Step 2: Convert to fraction form
    233.02/321.39 = 145.66/x
  3. Step 3: Cross multiply
    233.02x = 321.39 × 145.66
  4. Step 4: Simplify right side
    233.02x = 46,813.67
  5. Step 5: Solve for x
    x = 46,813.67/233.02
  6. Step 6: Final answer
    x = 200.90

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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.