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Finding the Fourth Proportional to 373.50, 515.43 and 226.15

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Solution

The fourth proportional to 373.50, 515.43 and 226.15 is: 312.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    373.50 : 515.43 = 226.15 : x
  2. Step 2: Convert to fraction form
    373.50/515.43 = 226.15/x
  3. Step 3: Cross multiply
    373.50x = 515.43 × 226.15
  4. Step 4: Simplify right side
    373.50x = 116,563.21
  5. Step 5: Solve for x
    x = 116,563.21/373.50
  6. Step 6: Final answer
    x = 312.08

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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.