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Finding the Fourth Proportional to 237.85, 357 and 199.57

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Solution

The fourth proportional to 237.85, 357 and 199.57 is: 299.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    237.85 : 357 = 199.57 : x
  2. Step 2: Convert to fraction form
    237.85/357 = 199.57/x
  3. Step 3: Cross multiply
    237.85x = 357 × 199.57
  4. Step 4: Simplify right side
    237.85x = 71,246.49
  5. Step 5: Solve for x
    x = 71,246.49/237.85
  6. Step 6: Final answer
    x = 299.54

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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.