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Finding the Fourth Proportional to 196.65, 294.90 and 59.65

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Solution

The fourth proportional to 196.65, 294.90 and 59.65 is: 89.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    196.65 : 294.90 = 59.65 : x
  2. Step 2: Convert to fraction form
    196.65/294.90 = 59.65/x
  3. Step 3: Cross multiply
    196.65x = 294.90 × 59.65
  4. Step 4: Simplify right side
    196.65x = 17,589.82
  5. Step 5: Solve for x
    x = 17,589.82/196.65
  6. Step 6: Final answer
    x = 89.45

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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.