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Finding the Fourth Proportional to 296.88, 445.44 and 200.64

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Solution

The fourth proportional to 296.88, 445.44 and 200.64 is: 301.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    296.88 : 445.44 = 200.64 : x
  2. Step 2: Convert to fraction form
    296.88/445.44 = 200.64/x
  3. Step 3: Cross multiply
    296.88x = 445.44 × 200.64
  4. Step 4: Simplify right side
    296.88x = 89,373.08
  5. Step 5: Solve for x
    x = 89,373.08/296.88
  6. Step 6: Final answer
    x = 301.04

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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.