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Finding the Fourth Proportional to 196.58, 294.64 and 105.35

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Solution

The fourth proportional to 196.58, 294.64 and 105.35 is: 157.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    196.58 : 294.64 = 105.35 : x
  2. Step 2: Convert to fraction form
    196.58/294.64 = 105.35/x
  3. Step 3: Cross multiply
    196.58x = 294.64 × 105.35
  4. Step 4: Simplify right side
    196.58x = 31,039.18
  5. Step 5: Solve for x
    x = 31,039.18/196.58
  6. Step 6: Final answer
    x = 157.89

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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.