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Finding the Fourth Proportional to 231.56, 345.14 and 223.64

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Solution

The fourth proportional to 231.56, 345.14 and 223.64 is: 333.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    231.56 : 345.14 = 223.64 : x
  2. Step 2: Convert to fraction form
    231.56/345.14 = 223.64/x
  3. Step 3: Cross multiply
    231.56x = 345.14 × 223.64
  4. Step 4: Simplify right side
    231.56x = 77,187.11
  5. Step 5: Solve for x
    x = 77,187.11/231.56
  6. Step 6: Final answer
    x = 333.34

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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.