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Finding the Fourth Proportional to 373.14, 514.85 and 225.86

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Solution

The fourth proportional to 373.14, 514.85 and 225.86 is: 311.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    373.14 : 514.85 = 225.86 : x
  2. Step 2: Convert to fraction form
    373.14/514.85 = 225.86/x
  3. Step 3: Cross multiply
    373.14x = 514.85 × 225.86
  4. Step 4: Simplify right side
    373.14x = 116,284.02
  5. Step 5: Solve for x
    x = 116,284.02/373.14
  6. Step 6: Final answer
    x = 311.64

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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.