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Finding the Fourth Proportional to 285.33, 393.82 and 187.09

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Solution

The fourth proportional to 285.33, 393.82 and 187.09 is: 258.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    285.33 : 393.82 = 187.09 : x
  2. Step 2: Convert to fraction form
    285.33/393.82 = 187.09/x
  3. Step 3: Cross multiply
    285.33x = 393.82 × 187.09
  4. Step 4: Simplify right side
    285.33x = 73,678.33
  5. Step 5: Solve for x
    x = 73,678.33/285.33
  6. Step 6: Final answer
    x = 258.22

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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.