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Finding the Fourth Proportional to 268.50, 370.19 and 224.31

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Solution

The fourth proportional to 268.50, 370.19 and 224.31 is: 309.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    268.50 : 370.19 = 224.31 : x
  2. Step 2: Convert to fraction form
    268.50/370.19 = 224.31/x
  3. Step 3: Cross multiply
    268.50x = 370.19 × 224.31
  4. Step 4: Simplify right side
    268.50x = 83,037.32
  5. Step 5: Solve for x
    x = 83,037.32/268.50
  6. Step 6: Final answer
    x = 309.26

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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.