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Finding the Fourth Proportional to 250.14, 346.14 and 213.24

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Solution

The fourth proportional to 250.14, 346.14 and 213.24 is: 295.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    250.14 : 346.14 = 213.24 : x
  2. Step 2: Convert to fraction form
    250.14/346.14 = 213.24/x
  3. Step 3: Cross multiply
    250.14x = 346.14 × 213.24
  4. Step 4: Simplify right side
    250.14x = 73,810.89
  5. Step 5: Solve for x
    x = 73,810.89/250.14
  6. Step 6: Final answer
    x = 295.08

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.