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Finding the Fourth Proportional to 296.53, 445.10 and 193.46

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Solution

The fourth proportional to 296.53, 445.10 and 193.46 is: 290.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    296.53 : 445.10 = 193.46 : x
  2. Step 2: Convert to fraction form
    296.53/445.10 = 193.46/x
  3. Step 3: Cross multiply
    296.53x = 445.10 × 193.46
  4. Step 4: Simplify right side
    296.53x = 86,105.85
  5. Step 5: Solve for x
    x = 86,105.85/296.53
  6. Step 6: Final answer
    x = 290.38

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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.