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Finding the Fourth Proportional to 367.85, 552.59 and 223.67

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Solution

The fourth proportional to 367.85, 552.59 and 223.67 is: 336.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    367.85 : 552.59 = 223.67 : x
  2. Step 2: Convert to fraction form
    367.85/552.59 = 223.67/x
  3. Step 3: Cross multiply
    367.85x = 552.59 × 223.67
  4. Step 4: Simplify right side
    367.85x = 123,598.91
  5. Step 5: Solve for x
    x = 123,598.91/367.85
  6. Step 6: Final answer
    x = 336.00

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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.