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Finding the Fourth Proportional to 239.40, 359.55 and 188.55

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Solution

The fourth proportional to 239.40, 359.55 and 188.55 is: 283.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    239.40 : 359.55 = 188.55 : x
  2. Step 2: Convert to fraction form
    239.40/359.55 = 188.55/x
  3. Step 3: Cross multiply
    239.40x = 359.55 × 188.55
  4. Step 4: Simplify right side
    239.40x = 67,793.15
  5. Step 5: Solve for x
    x = 67,793.15/239.40
  6. Step 6: Final answer
    x = 283.18

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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.