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Finding the Fourth Proportional to 361.47, 542.26 and 224.67

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Solution

The fourth proportional to 361.47, 542.26 and 224.67 is: 337.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    361.47 : 542.26 = 224.67 : x
  2. Step 2: Convert to fraction form
    361.47/542.26 = 224.67/x
  3. Step 3: Cross multiply
    361.47x = 542.26 × 224.67
  4. Step 4: Simplify right side
    361.47x = 121,829.55
  5. Step 5: Solve for x
    x = 121,829.55/361.47
  6. Step 6: Final answer
    x = 337.04

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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.