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Finding the Fourth Proportional to 238.50, 357.88 and 197.46

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Solution

The fourth proportional to 238.50, 357.88 and 197.46 is: 296.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    238.50 : 357.88 = 197.46 : x
  2. Step 2: Convert to fraction form
    238.50/357.88 = 197.46/x
  3. Step 3: Cross multiply
    238.50x = 357.88 × 197.46
  4. Step 4: Simplify right side
    238.50x = 70,666.98
  5. Step 5: Solve for x
    x = 70,666.98/238.50
  6. Step 6: Final answer
    x = 296.30

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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.