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Finding the Fourth Proportional to 233.02, 321.70 and 145.80

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Solution

The fourth proportional to 233.02, 321.70 and 145.80 is: 201.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    233.02 : 321.70 = 145.80 : x
  2. Step 2: Convert to fraction form
    233.02/321.70 = 145.80/x
  3. Step 3: Cross multiply
    233.02x = 321.70 × 145.80
  4. Step 4: Simplify right side
    233.02x = 46,903.86
  5. Step 5: Solve for x
    x = 46,903.86/233.02
  6. Step 6: Final answer
    x = 201.29

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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.