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Finding the Fourth Proportional to 196.58, 295.05 and 174.76

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Solution

The fourth proportional to 196.58, 295.05 and 174.76 is: 262.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    196.58 : 295.05 = 174.76 : x
  2. Step 2: Convert to fraction form
    196.58/295.05 = 174.76/x
  3. Step 3: Cross multiply
    196.58x = 295.05 × 174.76
  4. Step 4: Simplify right side
    196.58x = 51,562.20
  5. Step 5: Solve for x
    x = 51,562.20/196.58
  6. Step 6: Final answer
    x = 262.30

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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.