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Finding the Fourth Proportional to 295.15, 442.72 and 165.09

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Solution

The fourth proportional to 295.15, 442.72 and 165.09 is: 247.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    295.15 : 442.72 = 165.09 : x
  2. Step 2: Convert to fraction form
    295.15/442.72 = 165.09/x
  3. Step 3: Cross multiply
    295.15x = 442.72 × 165.09
  4. Step 4: Simplify right side
    295.15x = 73,087.19
  5. Step 5: Solve for x
    x = 73,087.19/295.15
  6. Step 6: Final answer
    x = 247.63

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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.