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Finding the Fourth Proportional to 336.16, 464.09 and 224.10

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Solution

The fourth proportional to 336.16, 464.09 and 224.10 is: 309.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    336.16 : 464.09 = 224.10 : x
  2. Step 2: Convert to fraction form
    336.16/464.09 = 224.10/x
  3. Step 3: Cross multiply
    336.16x = 464.09 × 224.10
  4. Step 4: Simplify right side
    336.16x = 104,000.25
  5. Step 5: Solve for x
    x = 104,000.25/336.16
  6. Step 6: Final answer
    x = 309.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.