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Finding the Fourth Proportional to 233.68, 322.38 and 146.32

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Solution

The fourth proportional to 233.68, 322.38 and 146.32 is: 201.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    233.68 : 322.38 = 146.32 : x
  2. Step 2: Convert to fraction form
    233.68/322.38 = 146.32/x
  3. Step 3: Cross multiply
    233.68x = 322.38 × 146.32
  4. Step 4: Simplify right side
    233.68x = 47,170.64
  5. Step 5: Solve for x
    x = 47,170.64/233.68
  6. Step 6: Final answer
    x = 201.86

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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.