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Finding the Fourth Proportional to 201.56, 302.09 and 98.87

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Solution

The fourth proportional to 201.56, 302.09 and 98.87 is: 148.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    201.56 : 302.09 = 98.87 : x
  2. Step 2: Convert to fraction form
    201.56/302.09 = 98.87/x
  3. Step 3: Cross multiply
    201.56x = 302.09 × 98.87
  4. Step 4: Simplify right side
    201.56x = 29,865.63
  5. Step 5: Solve for x
    x = 29,865.63/201.56
  6. Step 6: Final answer
    x = 148.18

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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.