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Finding the Fourth Proportional to 233.64, 322.35 and 135.43

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Solution

The fourth proportional to 233.64, 322.35 and 135.43 is: 186.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    233.64 : 322.35 = 135.43 : x
  2. Step 2: Convert to fraction form
    233.64/322.35 = 135.43/x
  3. Step 3: Cross multiply
    233.64x = 322.35 × 135.43
  4. Step 4: Simplify right side
    233.64x = 43,654.55
  5. Step 5: Solve for x
    x = 43,654.55/233.64
  6. Step 6: Final answer
    x = 186.85

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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.