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Finding the Fourth Proportional to 237.96, 357.48 and 197.46

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Solution

The fourth proportional to 237.96, 357.48 and 197.46 is: 296.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    237.96 : 357.48 = 197.46 : x
  2. Step 2: Convert to fraction form
    237.96/357.48 = 197.46/x
  3. Step 3: Cross multiply
    237.96x = 357.48 × 197.46
  4. Step 4: Simplify right side
    237.96x = 70,588.00
  5. Step 5: Solve for x
    x = 70,588.00/237.96
  6. Step 6: Final answer
    x = 296.64

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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.