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Finding the Fourth Proportional to 199.54, 275.14 and 147.01

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Solution

The fourth proportional to 199.54, 275.14 and 147.01 is: 202.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    199.54 : 275.14 = 147.01 : x
  2. Step 2: Convert to fraction form
    199.54/275.14 = 147.01/x
  3. Step 3: Cross multiply
    199.54x = 275.14 × 147.01
  4. Step 4: Simplify right side
    199.54x = 40,448.33
  5. Step 5: Solve for x
    x = 40,448.33/199.54
  6. Step 6: Final answer
    x = 202.71

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.