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Finding the Fourth Proportional to 295.90, 408.34 and 171.56

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Solution

The fourth proportional to 295.90, 408.34 and 171.56 is: 236.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    295.90 : 408.34 = 171.56 : x
  2. Step 2: Convert to fraction form
    295.90/408.34 = 171.56/x
  3. Step 3: Cross multiply
    295.90x = 408.34 × 171.56
  4. Step 4: Simplify right side
    295.90x = 70,054.81
  5. Step 5: Solve for x
    x = 70,054.81/295.90
  6. Step 6: Final answer
    x = 236.75

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.