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Finding the Fourth Proportional to 196, 293.94 and 147.16

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Solution

The fourth proportional to 196, 293.94 and 147.16 is: 220.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    196 : 293.94 = 147.16 : x
  2. Step 2: Convert to fraction form
    196/293.94 = 147.16/x
  3. Step 3: Cross multiply
    196x = 293.94 × 147.16
  4. Step 4: Simplify right side
    196x = 43,256.21
  5. Step 5: Solve for x
    x = 43,256.21/196
  6. Step 6: Final answer
    x = 220.69

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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.