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Finding the Fourth Proportional to 196.58, 294.74 and 105.32

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Solution

The fourth proportional to 196.58, 294.74 and 105.32 is: 157.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    196.58 : 294.74 = 105.32 : x
  2. Step 2: Convert to fraction form
    196.58/294.74 = 105.32/x
  3. Step 3: Cross multiply
    196.58x = 294.74 × 105.32
  4. Step 4: Simplify right side
    196.58x = 31,042.02
  5. Step 5: Solve for x
    x = 31,042.02/196.58
  6. Step 6: Final answer
    x = 157.91

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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.