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Finding the Fourth Proportional to 201.57, 302.05 and 98.70

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Solution

The fourth proportional to 201.57, 302.05 and 98.70 is: 147.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    201.57 : 302.05 = 98.70 : x
  2. Step 2: Convert to fraction form
    201.57/302.05 = 98.70/x
  3. Step 3: Cross multiply
    201.57x = 302.05 × 98.70
  4. Step 4: Simplify right side
    201.57x = 29,812.34
  5. Step 5: Solve for x
    x = 29,812.34/201.57
  6. Step 6: Final answer
    x = 147.90

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.