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Finding the Fourth Proportional to 285.54, 427.96 and 203.15

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Solution

The fourth proportional to 285.54, 427.96 and 203.15 is: 304.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    285.54 : 427.96 = 203.15 : x
  2. Step 2: Convert to fraction form
    285.54/427.96 = 203.15/x
  3. Step 3: Cross multiply
    285.54x = 427.96 × 203.15
  4. Step 4: Simplify right side
    285.54x = 86,937.43
  5. Step 5: Solve for x
    x = 86,937.43/285.54
  6. Step 6: Final answer
    x = 304.47

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.