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Finding the Fourth Proportional to 297.16, 445.75 and 114.77

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Solution

The fourth proportional to 297.16, 445.75 and 114.77 is: 172.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    297.16 : 445.75 = 114.77 : x
  2. Step 2: Convert to fraction form
    297.16/445.75 = 114.77/x
  3. Step 3: Cross multiply
    297.16x = 445.75 × 114.77
  4. Step 4: Simplify right side
    297.16x = 51,158.73
  5. Step 5: Solve for x
    x = 51,158.73/297.16
  6. Step 6: Final answer
    x = 172.16

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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.