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Finding the Fourth Proportional to 201.79, 302.40 and 98.96

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Solution

The fourth proportional to 201.79, 302.40 and 98.96 is: 148.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    201.79 : 302.40 = 98.96 : x
  2. Step 2: Convert to fraction form
    201.79/302.40 = 98.96/x
  3. Step 3: Cross multiply
    201.79x = 302.40 × 98.96
  4. Step 4: Simplify right side
    201.79x = 29,924.85
  5. Step 5: Solve for x
    x = 29,924.85/201.79
  6. Step 6: Final answer
    x = 148.30

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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.