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Finding the Fourth Proportional to 233.64, 322.31 and 135.38

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Solution

The fourth proportional to 233.64, 322.31 and 135.38 is: 186.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    233.64 : 322.31 = 135.38 : x
  2. Step 2: Convert to fraction form
    233.64/322.31 = 135.38/x
  3. Step 3: Cross multiply
    233.64x = 322.31 × 135.38
  4. Step 4: Simplify right side
    233.64x = 43,632.04
  5. Step 5: Solve for x
    x = 43,632.04/233.64
  6. Step 6: Final answer
    x = 186.75

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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.