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Finding the Fourth Proportional to 297.33, 445.32 and 172.10

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Solution

The fourth proportional to 297.33, 445.32 and 172.10 is: 257.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    297.33 : 445.32 = 172.10 : x
  2. Step 2: Convert to fraction form
    297.33/445.32 = 172.10/x
  3. Step 3: Cross multiply
    297.33x = 445.32 × 172.10
  4. Step 4: Simplify right side
    297.33x = 76,637.35
  5. Step 5: Solve for x
    x = 76,637.35/297.33
  6. Step 6: Final answer
    x = 257.76

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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.