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Finding the Fourth Proportional to 231.53, 317.45 and 226.06

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Solution

The fourth proportional to 231.53, 317.45 and 226.06 is: 309.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    231.53 : 317.45 = 226.06 : x
  2. Step 2: Convert to fraction form
    231.53/317.45 = 226.06/x
  3. Step 3: Cross multiply
    231.53x = 317.45 × 226.06
  4. Step 4: Simplify right side
    231.53x = 71,762.52
  5. Step 5: Solve for x
    x = 71,762.52/231.53
  6. Step 6: Final answer
    x = 309.96

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.