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Finding the Fourth Proportional to 196.40, 270.98 and 157.04

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Solution

The fourth proportional to 196.40, 270.98 and 157.04 is: 216.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    196.40 : 270.98 = 157.04 : x
  2. Step 2: Convert to fraction form
    196.40/270.98 = 157.04/x
  3. Step 3: Cross multiply
    196.40x = 270.98 × 157.04
  4. Step 4: Simplify right side
    196.40x = 42,554.70
  5. Step 5: Solve for x
    x = 42,554.70/196.40
  6. Step 6: Final answer
    x = 216.67

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.