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Finding the Fourth Proportional to 233.30, 322.02 and 146.09

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Solution

The fourth proportional to 233.30, 322.02 and 146.09 is: 201.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    233.30 : 322.02 = 146.09 : x
  2. Step 2: Convert to fraction form
    233.30/322.02 = 146.09/x
  3. Step 3: Cross multiply
    233.30x = 322.02 × 146.09
  4. Step 4: Simplify right side
    233.30x = 47,042.29
  5. Step 5: Solve for x
    x = 47,042.29/233.30
  6. Step 6: Final answer
    x = 201.64

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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.