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Finding the Fourth Proportional to 196.25, 294.44 and 145.32

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Solution

The fourth proportional to 196.25, 294.44 and 145.32 is: 218.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    196.25 : 294.44 = 145.32 : x
  2. Step 2: Convert to fraction form
    196.25/294.44 = 145.32/x
  3. Step 3: Cross multiply
    196.25x = 294.44 × 145.32
  4. Step 4: Simplify right side
    196.25x = 42,787.28
  5. Step 5: Solve for x
    x = 42,787.28/196.25
  6. Step 6: Final answer
    x = 218.03

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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.