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Finding the Fourth Proportional to 201.45, 302.28 and 98.62

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Solution

The fourth proportional to 201.45, 302.28 and 98.62 is: 147.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    201.45 : 302.28 = 98.62 : x
  2. Step 2: Convert to fraction form
    201.45/302.28 = 98.62/x
  3. Step 3: Cross multiply
    201.45x = 302.28 × 98.62
  4. Step 4: Simplify right side
    201.45x = 29,810.28
  5. Step 5: Solve for x
    x = 29,810.28/201.45
  6. Step 6: Final answer
    x = 147.98

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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.