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Finding the Fourth Proportional to 196, 293.76 and 99.84

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Solution

The fourth proportional to 196, 293.76 and 99.84 is: 149.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    196 : 293.76 = 99.84 : x
  2. Step 2: Convert to fraction form
    196/293.76 = 99.84/x
  3. Step 3: Cross multiply
    196x = 293.76 × 99.84
  4. Step 4: Simplify right side
    196x = 29,329.00
  5. Step 5: Solve for x
    x = 29,329.00/196
  6. Step 6: Final answer
    x = 149.64

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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.