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Finding the Fourth Proportional to 226.59, 337.53 and 214.17

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Solution

The fourth proportional to 226.59, 337.53 and 214.17 is: 319.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    226.59 : 337.53 = 214.17 : x
  2. Step 2: Convert to fraction form
    226.59/337.53 = 214.17/x
  3. Step 3: Cross multiply
    226.59x = 337.53 × 214.17
  4. Step 4: Simplify right side
    226.59x = 72,288.80
  5. Step 5: Solve for x
    x = 72,288.80/226.59
  6. Step 6: Final answer
    x = 319.03

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.