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Finding the Fourth Proportional to 231, 346.58 and 213.24

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Solution

The fourth proportional to 231, 346.58 and 213.24 is: 319.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    231 : 346.58 = 213.24 : x
  2. Step 2: Convert to fraction form
    231/346.58 = 213.24/x
  3. Step 3: Cross multiply
    231x = 346.58 × 213.24
  4. Step 4: Simplify right side
    231x = 73,904.72
  5. Step 5: Solve for x
    x = 73,904.72/231
  6. Step 6: Final answer
    x = 319.93

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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.