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Finding the Fourth Proportional to 320.72, 442.66 and 204.26

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Solution

The fourth proportional to 320.72, 442.66 and 204.26 is: 281.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    320.72 : 442.66 = 204.26 : x
  2. Step 2: Convert to fraction form
    320.72/442.66 = 204.26/x
  3. Step 3: Cross multiply
    320.72x = 442.66 × 204.26
  4. Step 4: Simplify right side
    320.72x = 90,417.73
  5. Step 5: Solve for x
    x = 90,417.73/320.72
  6. Step 6: Final answer
    x = 281.92

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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.