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Finding the Fourth Proportional to 196.59, 295.06 and 164.29

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Solution

The fourth proportional to 196.59, 295.06 and 164.29 is: 246.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    196.59 : 295.06 = 164.29 : x
  2. Step 2: Convert to fraction form
    196.59/295.06 = 164.29/x
  3. Step 3: Cross multiply
    196.59x = 295.06 × 164.29
  4. Step 4: Simplify right side
    196.59x = 48,473.11
  5. Step 5: Solve for x
    x = 48,473.11/196.59
  6. Step 6: Final answer
    x = 246.58

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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.