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Finding the Fourth Proportional to 233.53, 322.20 and 146.23

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Solution

The fourth proportional to 233.53, 322.20 and 146.23 is: 201.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    233.53 : 322.20 = 146.23 : x
  2. Step 2: Convert to fraction form
    233.53/322.20 = 146.23/x
  3. Step 3: Cross multiply
    233.53x = 322.20 × 146.23
  4. Step 4: Simplify right side
    233.53x = 47,115.31
  5. Step 5: Solve for x
    x = 47,115.31/233.53
  6. Step 6: Final answer
    x = 201.75

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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.