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Finding the Fourth Proportional to 163.42, 244.01 and 147.02

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Solution

The fourth proportional to 163.42, 244.01 and 147.02 is: 219.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    163.42 : 244.01 = 147.02 : x
  2. Step 2: Convert to fraction form
    163.42/244.01 = 147.02/x
  3. Step 3: Cross multiply
    163.42x = 244.01 × 147.02
  4. Step 4: Simplify right side
    163.42x = 35,873.50
  5. Step 5: Solve for x
    x = 35,873.50/163.42
  6. Step 6: Final answer
    x = 219.52

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.