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Finding the Fourth Proportional to 237.50, 355.98 and 197.18

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Solution

The fourth proportional to 237.50, 355.98 and 197.18 is: 295.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    237.50 : 355.98 = 197.18 : x
  2. Step 2: Convert to fraction form
    237.50/355.98 = 197.18/x
  3. Step 3: Cross multiply
    237.50x = 355.98 × 197.18
  4. Step 4: Simplify right side
    237.50x = 70,192.14
  5. Step 5: Solve for x
    x = 70,192.14/237.50
  6. Step 6: Final answer
    x = 295.55

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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.