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Finding the Fourth Proportional to 295.05, 442.44 and 165

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Solution

The fourth proportional to 295.05, 442.44 and 165 is: 247.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    295.05 : 442.44 = 165 : x
  2. Step 2: Convert to fraction form
    295.05/442.44 = 165/x
  3. Step 3: Cross multiply
    295.05x = 442.44 × 165
  4. Step 4: Simplify right side
    295.05x = 73,002.60
  5. Step 5: Solve for x
    x = 73,002.60/295.05
  6. Step 6: Final answer
    x = 247.42

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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.