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Finding the Fourth Proportional to 196.98, 296.60 and 174.30

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Solution

The fourth proportional to 196.98, 296.60 and 174.30 is: 262.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    196.98 : 296.60 = 174.30 : x
  2. Step 2: Convert to fraction form
    196.98/296.60 = 174.30/x
  3. Step 3: Cross multiply
    196.98x = 296.60 × 174.30
  4. Step 4: Simplify right side
    196.98x = 51,696.51
  5. Step 5: Solve for x
    x = 51,696.51/196.98
  6. Step 6: Final answer
    x = 262.45

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.