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Finding the Fourth Proportional to 295.30, 443.12 and 173.80

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Solution

The fourth proportional to 295.30, 443.12 and 173.80 is: 260.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    295.30 : 443.12 = 173.80 : x
  2. Step 2: Convert to fraction form
    295.30/443.12 = 173.80/x
  3. Step 3: Cross multiply
    295.30x = 443.12 × 173.80
  4. Step 4: Simplify right side
    295.30x = 77,014.26
  5. Step 5: Solve for x
    x = 77,014.26/295.30
  6. Step 6: Final answer
    x = 260.80

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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.