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Finding the Fourth Proportional to 231.58, 347.93 and 222.47

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Solution

The fourth proportional to 231.58, 347.93 and 222.47 is: 334.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    231.58 : 347.93 = 222.47 : x
  2. Step 2: Convert to fraction form
    231.58/347.93 = 222.47/x
  3. Step 3: Cross multiply
    231.58x = 347.93 × 222.47
  4. Step 4: Simplify right side
    231.58x = 77,402.80
  5. Step 5: Solve for x
    x = 77,402.80/231.58
  6. Step 6: Final answer
    x = 334.24

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.