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Finding the Fourth Proportional to 285.03, 393.35 and 185.47

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Solution

The fourth proportional to 285.03, 393.35 and 185.47 is: 255.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    285.03 : 393.35 = 185.47 : x
  2. Step 2: Convert to fraction form
    285.03/393.35 = 185.47/x
  3. Step 3: Cross multiply
    285.03x = 393.35 × 185.47
  4. Step 4: Simplify right side
    285.03x = 72,954.62
  5. Step 5: Solve for x
    x = 72,954.62/285.03
  6. Step 6: Final answer
    x = 255.95

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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.