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Finding the Fourth Proportional to 373.65, 515.70 and 226.26

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Solution

The fourth proportional to 373.65, 515.70 and 226.26 is: 312.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    373.65 : 515.70 = 226.26 : x
  2. Step 2: Convert to fraction form
    373.65/515.70 = 226.26/x
  3. Step 3: Cross multiply
    373.65x = 515.70 × 226.26
  4. Step 4: Simplify right side
    373.65x = 116,682.28
  5. Step 5: Solve for x
    x = 116,682.28/373.65
  6. Step 6: Final answer
    x = 312.28

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.