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Finding the Fourth Proportional to 297.14, 445.72 and 114.51

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Solution

The fourth proportional to 297.14, 445.72 and 114.51 is: 171.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    297.14 : 445.72 = 114.51 : x
  2. Step 2: Convert to fraction form
    297.14/445.72 = 114.51/x
  3. Step 3: Cross multiply
    297.14x = 445.72 × 114.51
  4. Step 4: Simplify right side
    297.14x = 51,039.40
  5. Step 5: Solve for x
    x = 51,039.40/297.14
  6. Step 6: Final answer
    x = 171.77

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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.