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Finding the Fourth Proportional to 336.70, 464.75 and 218.85

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Solution

The fourth proportional to 336.70, 464.75 and 218.85 is: 302.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    336.70 : 464.75 = 218.85 : x
  2. Step 2: Convert to fraction form
    336.70/464.75 = 218.85/x
  3. Step 3: Cross multiply
    336.70x = 464.75 × 218.85
  4. Step 4: Simplify right side
    336.70x = 101,710.54
  5. Step 5: Solve for x
    x = 101,710.54/336.70
  6. Step 6: Final answer
    x = 302.08

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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.