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Finding the Fourth Proportional to 320.49, 442.08 and 204.12

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Solution

The fourth proportional to 320.49, 442.08 and 204.12 is: 281.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    320.49 : 442.08 = 204.12 : x
  2. Step 2: Convert to fraction form
    320.49/442.08 = 204.12/x
  3. Step 3: Cross multiply
    320.49x = 442.08 × 204.12
  4. Step 4: Simplify right side
    320.49x = 90,237.37
  5. Step 5: Solve for x
    x = 90,237.37/320.49
  6. Step 6: Final answer
    x = 281.56

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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.