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Finding the Fourth Proportional to 336.10, 464.04 and 211.80

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Solution

The fourth proportional to 336.10, 464.04 and 211.80 is: 292.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    336.10 : 464.04 = 211.80 : x
  2. Step 2: Convert to fraction form
    336.10/464.04 = 211.80/x
  3. Step 3: Cross multiply
    336.10x = 464.04 × 211.80
  4. Step 4: Simplify right side
    336.10x = 98,283.67
  5. Step 5: Solve for x
    x = 98,283.67/336.10
  6. Step 6: Final answer
    x = 292.42

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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.