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Finding the Fourth Proportional to 336.50, 463.96 and 218.26

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Solution

The fourth proportional to 336.50, 463.96 and 218.26 is: 300.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    336.50 : 463.96 = 218.26 : x
  2. Step 2: Convert to fraction form
    336.50/463.96 = 218.26/x
  3. Step 3: Cross multiply
    336.50x = 463.96 × 218.26
  4. Step 4: Simplify right side
    336.50x = 101,263.91
  5. Step 5: Solve for x
    x = 101,263.91/336.50
  6. Step 6: Final answer
    x = 300.93

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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.