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Finding the Fourth Proportional to 239.50, 329.70 and 214.93

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Solution

The fourth proportional to 239.50, 329.70 and 214.93 is: 295.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    239.50 : 329.70 = 214.93 : x
  2. Step 2: Convert to fraction form
    239.50/329.70 = 214.93/x
  3. Step 3: Cross multiply
    239.50x = 329.70 × 214.93
  4. Step 4: Simplify right side
    239.50x = 70,862.42
  5. Step 5: Solve for x
    x = 70,862.42/239.50
  6. Step 6: Final answer
    x = 295.88

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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.