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Finding the Fourth Proportional to 357.68, 535.30 and 249.01

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Solution

The fourth proportional to 357.68, 535.30 and 249.01 is: 372.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    357.68 : 535.30 = 249.01 : x
  2. Step 2: Convert to fraction form
    357.68/535.30 = 249.01/x
  3. Step 3: Cross multiply
    357.68x = 535.30 × 249.01
  4. Step 4: Simplify right side
    357.68x = 133,295.05
  5. Step 5: Solve for x
    x = 133,295.05/357.68
  6. Step 6: Final answer
    x = 372.67

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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.