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Finding the Fourth Proportional to 296.93, 445.82 and 160.46

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Solution

The fourth proportional to 296.93, 445.82 and 160.46 is: 240.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    296.93 : 445.82 = 160.46 : x
  2. Step 2: Convert to fraction form
    296.93/445.82 = 160.46/x
  3. Step 3: Cross multiply
    296.93x = 445.82 × 160.46
  4. Step 4: Simplify right side
    296.93x = 71,535.47
  5. Step 5: Solve for x
    x = 71,535.47/296.93
  6. Step 6: Final answer
    x = 240.92

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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.