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Finding the Fourth Proportional to 296.93, 445.41 and 134.57

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Solution

The fourth proportional to 296.93, 445.41 and 134.57 is: 201.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    296.93 : 445.41 = 134.57 : x
  2. Step 2: Convert to fraction form
    296.93/445.41 = 134.57/x
  3. Step 3: Cross multiply
    296.93x = 445.41 × 134.57
  4. Step 4: Simplify right side
    296.93x = 59,938.82
  5. Step 5: Solve for x
    x = 59,938.82/296.93
  6. Step 6: Final answer
    x = 201.86

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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.