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Finding the Fourth Proportional to 177.02, 244 and 146.04

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Solution

The fourth proportional to 177.02, 244 and 146.04 is: 201.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    177.02 : 244 = 146.04 : x
  2. Step 2: Convert to fraction form
    177.02/244 = 146.04/x
  3. Step 3: Cross multiply
    177.02x = 244 × 146.04
  4. Step 4: Simplify right side
    177.02x = 35,633.76
  5. Step 5: Solve for x
    x = 35,633.76/177.02
  6. Step 6: Final answer
    x = 201.30

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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.