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Finding the Fourth Proportional to 296.86, 445.33 and 111.74

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Solution

The fourth proportional to 296.86, 445.33 and 111.74 is: 167.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    296.86 : 445.33 = 111.74 : x
  2. Step 2: Convert to fraction form
    296.86/445.33 = 111.74/x
  3. Step 3: Cross multiply
    296.86x = 445.33 × 111.74
  4. Step 4: Simplify right side
    296.86x = 49,762.01
  5. Step 5: Solve for x
    x = 49,762.01/296.86
  6. Step 6: Final answer
    x = 167.63

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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.