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Finding the Fourth Proportional to 237.12, 353.16 and 224.64

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Solution

The fourth proportional to 237.12, 353.16 and 224.64 is: 334.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    237.12 : 353.16 = 224.64 : x
  2. Step 2: Convert to fraction form
    237.12/353.16 = 224.64/x
  3. Step 3: Cross multiply
    237.12x = 353.16 × 224.64
  4. Step 4: Simplify right side
    237.12x = 79,333.86
  5. Step 5: Solve for x
    x = 79,333.86/237.12
  6. Step 6: Final answer
    x = 334.57

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.