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Finding the Fourth Proportional to 231.42, 346.38 and 213.00

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Solution

The fourth proportional to 231.42, 346.38 and 213.00 is: 318.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    231.42 : 346.38 = 213.00 : x
  2. Step 2: Convert to fraction form
    231.42/346.38 = 213.00/x
  3. Step 3: Cross multiply
    231.42x = 346.38 × 213.00
  4. Step 4: Simplify right side
    231.42x = 73,776.84
  5. Step 5: Solve for x
    x = 73,776.84/231.42
  6. Step 6: Final answer
    x = 318.80

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Why These Related Problems?

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