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Finding the Fourth Proportional to 199.36, 298.76 and 158.60

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Solution

The fourth proportional to 199.36, 298.76 and 158.60 is: 237.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    199.36 : 298.76 = 158.60 : x
  2. Step 2: Convert to fraction form
    199.36/298.76 = 158.60/x
  3. Step 3: Cross multiply
    199.36x = 298.76 × 158.60
  4. Step 4: Simplify right side
    199.36x = 47,383.34
  5. Step 5: Solve for x
    x = 47,383.34/199.36
  6. Step 6: Final answer
    x = 237.68

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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.