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Finding the Fourth Proportional to 295.76, 442.83 and 204.23

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Solution

The fourth proportional to 295.76, 442.83 and 204.23 is: 305.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    295.76 : 442.83 = 204.23 : x
  2. Step 2: Convert to fraction form
    295.76/442.83 = 204.23/x
  3. Step 3: Cross multiply
    295.76x = 442.83 × 204.23
  4. Step 4: Simplify right side
    295.76x = 90,439.17
  5. Step 5: Solve for x
    x = 90,439.17/295.76
  6. Step 6: Final answer
    x = 305.79

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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.