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Finding the Fourth Proportional to 239.12, 329.77 and 145.77

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Solution

The fourth proportional to 239.12, 329.77 and 145.77 is: 201.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    239.12 : 329.77 = 145.77 : x
  2. Step 2: Convert to fraction form
    239.12/329.77 = 145.77/x
  3. Step 3: Cross multiply
    239.12x = 329.77 × 145.77
  4. Step 4: Simplify right side
    239.12x = 48,070.57
  5. Step 5: Solve for x
    x = 48,070.57/239.12
  6. Step 6: Final answer
    x = 201.03

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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.