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Finding the Fourth Proportional to 296, 443.52 and 242

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Solution

The fourth proportional to 296, 443.52 and 242 is: 362.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    296 : 443.52 = 242 : x
  2. Step 2: Convert to fraction form
    296/443.52 = 242/x
  3. Step 3: Cross multiply
    296x = 443.52 × 242
  4. Step 4: Simplify right side
    296x = 107,331.84
  5. Step 5: Solve for x
    x = 107,331.84/296
  6. Step 6: Final answer
    x = 362.61

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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.