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Finding the Fourth Proportional to 296.61, 445.34 and 166.86

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Solution

The fourth proportional to 296.61, 445.34 and 166.86 is: 250.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    296.61 : 445.34 = 166.86 : x
  2. Step 2: Convert to fraction form
    296.61/445.34 = 166.86/x
  3. Step 3: Cross multiply
    296.61x = 445.34 × 166.86
  4. Step 4: Simplify right side
    296.61x = 74,308.60
  5. Step 5: Solve for x
    x = 74,308.60/296.61
  6. Step 6: Final answer
    x = 250.53

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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.