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Finding the Fourth Proportional to 295.92, 442.67 and 204.80

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Solution

The fourth proportional to 295.92, 442.67 and 204.80 is: 306.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    295.92 : 442.67 = 204.80 : x
  2. Step 2: Convert to fraction form
    295.92/442.67 = 204.80/x
  3. Step 3: Cross multiply
    295.92x = 442.67 × 204.80
  4. Step 4: Simplify right side
    295.92x = 90,655.58
  5. Step 5: Solve for x
    x = 90,655.58/295.92
  6. Step 6: Final answer
    x = 306.35

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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.