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Finding the Fourth Proportional to 196.90, 295.05 and 174.12

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Solution

The fourth proportional to 196.90, 295.05 and 174.12 is: 260.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    196.90 : 295.05 = 174.12 : x
  2. Step 2: Convert to fraction form
    196.90/295.05 = 174.12/x
  3. Step 3: Cross multiply
    196.90x = 295.05 × 174.12
  4. Step 4: Simplify right side
    196.90x = 51,374.11
  5. Step 5: Solve for x
    x = 51,374.11/196.90
  6. Step 6: Final answer
    x = 260.91

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.