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Finding the Fourth Proportional to 295.14, 442.80 and 165.09

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Solution

The fourth proportional to 295.14, 442.80 and 165.09 is: 247.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    295.14 : 442.80 = 165.09 : x
  2. Step 2: Convert to fraction form
    295.14/442.80 = 165.09/x
  3. Step 3: Cross multiply
    295.14x = 442.80 × 165.09
  4. Step 4: Simplify right side
    295.14x = 73,101.85
  5. Step 5: Solve for x
    x = 73,101.85/295.14
  6. Step 6: Final answer
    x = 247.69

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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.