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Finding the Fourth Proportional to 373.13, 514.83 and 225.74

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Solution

The fourth proportional to 373.13, 514.83 and 225.74 is: 311.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    373.13 : 514.83 = 225.74 : x
  2. Step 2: Convert to fraction form
    373.13/514.83 = 225.74/x
  3. Step 3: Cross multiply
    373.13x = 514.83 × 225.74
  4. Step 4: Simplify right side
    373.13x = 116,214.02
  5. Step 5: Solve for x
    x = 116,214.02/373.13
  6. Step 6: Final answer
    x = 311.46

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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.