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Finding the Fourth Proportional to 268.65, 370.50 and 213.29

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Solution

The fourth proportional to 268.65, 370.50 and 213.29 is: 294.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    268.65 : 370.50 = 213.29 : x
  2. Step 2: Convert to fraction form
    268.65/370.50 = 213.29/x
  3. Step 3: Cross multiply
    268.65x = 370.50 × 213.29
  4. Step 4: Simplify right side
    268.65x = 79,024.87
  5. Step 5: Solve for x
    x = 79,024.87/268.65
  6. Step 6: Final answer
    x = 294.16

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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.