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Finding the Fourth Proportional to 294.68, 407.00 and 196.27

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Solution

The fourth proportional to 294.68, 407.00 and 196.27 is: 271.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    294.68 : 407.00 = 196.27 : x
  2. Step 2: Convert to fraction form
    294.68/407.00 = 196.27/x
  3. Step 3: Cross multiply
    294.68x = 407.00 × 196.27
  4. Step 4: Simplify right side
    294.68x = 79,881.36
  5. Step 5: Solve for x
    x = 79,881.36/294.68
  6. Step 6: Final answer
    x = 271.08

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.