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Finding the Fourth Proportional to 233.20, 322.02 and 146.02

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Solution

The fourth proportional to 233.20, 322.02 and 146.02 is: 201.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    233.20 : 322.02 = 146.02 : x
  2. Step 2: Convert to fraction form
    233.20/322.02 = 146.02/x
  3. Step 3: Cross multiply
    233.20x = 322.02 × 146.02
  4. Step 4: Simplify right side
    233.20x = 47,021.36
  5. Step 5: Solve for x
    x = 47,021.36/233.20
  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.