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Finding the Fourth Proportional to 233.30, 321 and 202.12

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Solution

The fourth proportional to 233.30, 321 and 202.12 is: 278.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    233.30 : 321 = 202.12 : x
  2. Step 2: Convert to fraction form
    233.30/321 = 202.12/x
  3. Step 3: Cross multiply
    233.30x = 321 × 202.12
  4. Step 4: Simplify right side
    233.30x = 64,880.52
  5. Step 5: Solve for x
    x = 64,880.52/233.30
  6. Step 6: Final answer
    x = 278.10

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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.