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Finding the Fourth Proportional to 239.82, 357.33 and 214.26

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Solution

The fourth proportional to 239.82, 357.33 and 214.26 is: 319.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    239.82 : 357.33 = 214.26 : x
  2. Step 2: Convert to fraction form
    239.82/357.33 = 214.26/x
  3. Step 3: Cross multiply
    239.82x = 357.33 × 214.26
  4. Step 4: Simplify right side
    239.82x = 76,561.53
  5. Step 5: Solve for x
    x = 76,561.53/239.82
  6. Step 6: Final answer
    x = 319.25

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.