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Finding the Fourth Proportional to 299.72, 450.22 and 235.72

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Solution

The fourth proportional to 299.72, 450.22 and 235.72 is: 354.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    299.72 : 450.22 = 235.72 : x
  2. Step 2: Convert to fraction form
    299.72/450.22 = 235.72/x
  3. Step 3: Cross multiply
    299.72x = 450.22 × 235.72
  4. Step 4: Simplify right side
    299.72x = 106,125.86
  5. Step 5: Solve for x
    x = 106,125.86/299.72
  6. Step 6: Final answer
    x = 354.08

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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.