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Finding the Fourth Proportional to 164.01, 245.76 and 98.85

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Solution

The fourth proportional to 164.01, 245.76 and 98.85 is: 148.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    164.01 : 245.76 = 98.85 : x
  2. Step 2: Convert to fraction form
    164.01/245.76 = 98.85/x
  3. Step 3: Cross multiply
    164.01x = 245.76 × 98.85
  4. Step 4: Simplify right side
    164.01x = 24,293.38
  5. Step 5: Solve for x
    x = 24,293.38/164.01
  6. Step 6: Final answer
    x = 148.12

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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.