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Finding the Fourth Proportional to 196.37, 294.32 and 175.86

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Solution

The fourth proportional to 196.37, 294.32 and 175.86 is: 263.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    196.37 : 294.32 = 175.86 : x
  2. Step 2: Convert to fraction form
    196.37/294.32 = 175.86/x
  3. Step 3: Cross multiply
    196.37x = 294.32 × 175.86
  4. Step 4: Simplify right side
    196.37x = 51,758.24
  5. Step 5: Solve for x
    x = 51,758.24/196.37
  6. Step 6: Final answer
    x = 263.58

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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.