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Finding the Fourth Proportional to 233.58, 322.32 and 146.28

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Solution

The fourth proportional to 233.58, 322.32 and 146.28 is: 201.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    233.58 : 322.32 = 146.28 : x
  2. Step 2: Convert to fraction form
    233.58/322.32 = 146.28/x
  3. Step 3: Cross multiply
    233.58x = 322.32 × 146.28
  4. Step 4: Simplify right side
    233.58x = 47,148.97
  5. Step 5: Solve for x
    x = 47,148.97/233.58
  6. Step 6: Final answer
    x = 201.85

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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.