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Finding the Fourth Proportional to 204.89, 282.75 and 111.64

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Solution

The fourth proportional to 204.89, 282.75 and 111.64 is: 154.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    204.89 : 282.75 = 111.64 : x
  2. Step 2: Convert to fraction form
    204.89/282.75 = 111.64/x
  3. Step 3: Cross multiply
    204.89x = 282.75 × 111.64
  4. Step 4: Simplify right side
    204.89x = 31,565.08
  5. Step 5: Solve for x
    x = 31,565.08/204.89
  6. Step 6: Final answer
    x = 154.06

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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.