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Finding the Fourth Proportional to 233.64, 322.43 and 146.25

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Solution

The fourth proportional to 233.64, 322.43 and 146.25 is: 201.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    233.64 : 322.43 = 146.25 : x
  2. Step 2: Convert to fraction form
    233.64/322.43 = 146.25/x
  3. Step 3: Cross multiply
    233.64x = 322.43 × 146.25
  4. Step 4: Simplify right side
    233.64x = 47,154.66
  5. Step 5: Solve for x
    x = 47,154.66/233.64
  6. Step 6: Final answer
    x = 201.83

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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.