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Finding the Fourth Proportional to 196.21, 294.21 and 174.01

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Solution

The fourth proportional to 196.21, 294.21 and 174.01 is: 260.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    196.21 : 294.21 = 174.01 : x
  2. Step 2: Convert to fraction form
    196.21/294.21 = 174.01/x
  3. Step 3: Cross multiply
    196.21x = 294.21 × 174.01
  4. Step 4: Simplify right side
    196.21x = 51,193.14
  5. Step 5: Solve for x
    x = 51,193.14/196.21
  6. Step 6: Final answer
    x = 260.91

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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.