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Finding the Fourth Proportional to 196.16, 294.25 and 59.21

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Solution

The fourth proportional to 196.16, 294.25 and 59.21 is: 88.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    196.16 : 294.25 = 59.21 : x
  2. Step 2: Convert to fraction form
    196.16/294.25 = 59.21/x
  3. Step 3: Cross multiply
    196.16x = 294.25 × 59.21
  4. Step 4: Simplify right side
    196.16x = 17,421.71
  5. Step 5: Solve for x
    x = 17,421.71/196.16
  6. Step 6: Final answer
    x = 88.81

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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.