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Finding the Fourth Proportional to 762.26, 1,142.86 and 242.09

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Solution

The fourth proportional to 762.26, 1,142.86 and 242.09 is: 362.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    762.26 : 1,142.86 = 242.09 : x
  2. Step 2: Convert to fraction form
    762.26/1,142.86 = 242.09/x
  3. Step 3: Cross multiply
    762.26x = 1,142.86 × 242.09
  4. Step 4: Simplify right side
    762.26x = 276,674.98
  5. Step 5: Solve for x
    x = 276,674.98/762.26
  6. Step 6: Final answer
    x = 362.97

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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.