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Finding the Fourth Proportional to 196.63, 295.17 and 153.34

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Solution

The fourth proportional to 196.63, 295.17 and 153.34 is: 230.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    196.63 : 295.17 = 153.34 : x
  2. Step 2: Convert to fraction form
    196.63/295.17 = 153.34/x
  3. Step 3: Cross multiply
    196.63x = 295.17 × 153.34
  4. Step 4: Simplify right side
    196.63x = 45,260.60
  5. Step 5: Solve for x
    x = 45,260.60/196.63
  6. Step 6: Final answer
    x = 230.19

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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.