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Finding the Fourth Proportional to 239.51, 358.80 and 214.86

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Solution

The fourth proportional to 239.51, 358.80 and 214.86 is: 321.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    239.51 : 358.80 = 214.86 : x
  2. Step 2: Convert to fraction form
    239.51/358.80 = 214.86/x
  3. Step 3: Cross multiply
    239.51x = 358.80 × 214.86
  4. Step 4: Simplify right side
    239.51x = 77,093.52
  5. Step 5: Solve for x
    x = 77,093.52/239.51
  6. Step 6: Final answer
    x = 321.88

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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.