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Finding the Fourth Proportional to 295.41, 442.38 and 171.69

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Solution

The fourth proportional to 295.41, 442.38 and 171.69 is: 257.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    295.41 : 442.38 = 171.69 : x
  2. Step 2: Convert to fraction form
    295.41/442.38 = 171.69/x
  3. Step 3: Cross multiply
    295.41x = 442.38 × 171.69
  4. Step 4: Simplify right side
    295.41x = 75,952.22
  5. Step 5: Solve for x
    x = 75,952.22/295.41
  6. Step 6: Final answer
    x = 257.11

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.