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Finding the Fourth Proportional to 196.65, 295.02 and 52.38

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Solution

The fourth proportional to 196.65, 295.02 and 52.38 is: 78.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    196.65 : 295.02 = 52.38 : x
  2. Step 2: Convert to fraction form
    196.65/295.02 = 52.38/x
  3. Step 3: Cross multiply
    196.65x = 295.02 × 52.38
  4. Step 4: Simplify right side
    196.65x = 15,453.15
  5. Step 5: Solve for x
    x = 15,453.15/196.65
  6. Step 6: Final answer
    x = 78.58

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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.