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Finding the Fourth Proportional to 196.00, 294.14 and 157.94

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Solution

The fourth proportional to 196.00, 294.14 and 157.94 is: 237.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    196.00 : 294.14 = 157.94 : x
  2. Step 2: Convert to fraction form
    196.00/294.14 = 157.94/x
  3. Step 3: Cross multiply
    196.00x = 294.14 × 157.94
  4. Step 4: Simplify right side
    196.00x = 46,457.18
  5. Step 5: Solve for x
    x = 46,457.18/196.00
  6. Step 6: Final answer
    x = 237.03

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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.