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Finding the Fourth Proportional to 233.78, 322.29 and 184.55

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Solution

The fourth proportional to 233.78, 322.29 and 184.55 is: 254.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    233.78 : 322.29 = 184.55 : x
  2. Step 2: Convert to fraction form
    233.78/322.29 = 184.55/x
  3. Step 3: Cross multiply
    233.78x = 322.29 × 184.55
  4. Step 4: Simplify right side
    233.78x = 59,477.01
  5. Step 5: Solve for x
    x = 59,477.01/233.78
  6. Step 6: Final answer
    x = 254.42

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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.