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Finding the Fourth Proportional to 373.14, 558.63 and 226.53

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Solution

The fourth proportional to 373.14, 558.63 and 226.53 is: 339.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    373.14 : 558.63 = 226.53 : x
  2. Step 2: Convert to fraction form
    373.14/558.63 = 226.53/x
  3. Step 3: Cross multiply
    373.14x = 558.63 × 226.53
  4. Step 4: Simplify right side
    373.14x = 126,546.45
  5. Step 5: Solve for x
    x = 126,546.45/373.14
  6. Step 6: Final answer
    x = 339.14

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.