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Finding the Fourth Proportional to 296.35, 443.73 and 245.22

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Solution

The fourth proportional to 296.35, 443.73 and 245.22 is: 367.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    296.35 : 443.73 = 245.22 : x
  2. Step 2: Convert to fraction form
    296.35/443.73 = 245.22/x
  3. Step 3: Cross multiply
    296.35x = 443.73 × 245.22
  4. Step 4: Simplify right side
    296.35x = 108,811.47
  5. Step 5: Solve for x
    x = 108,811.47/296.35
  6. Step 6: Final answer
    x = 367.17

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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.