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Finding the Fourth Proportional to 233.22, 321.02 and 202.02

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Solution

The fourth proportional to 233.22, 321.02 and 202.02 is: 278.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    233.22 : 321.02 = 202.02 : x
  2. Step 2: Convert to fraction form
    233.22/321.02 = 202.02/x
  3. Step 3: Cross multiply
    233.22x = 321.02 × 202.02
  4. Step 4: Simplify right side
    233.22x = 64,852.46
  5. Step 5: Solve for x
    x = 64,852.46/233.22
  6. Step 6: Final answer
    x = 278.07

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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.