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Finding the Fourth Proportional to 233.31, 322.38 and 184.58

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Solution

The fourth proportional to 233.31, 322.38 and 184.58 is: 255.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    233.31 : 322.38 = 184.58 : x
  2. Step 2: Convert to fraction form
    233.31/322.38 = 184.58/x
  3. Step 3: Cross multiply
    233.31x = 322.38 × 184.58
  4. Step 4: Simplify right side
    233.31x = 59,503.29
  5. Step 5: Solve for x
    x = 59,503.29/233.31
  6. Step 6: Final answer
    x = 255.04

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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.