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Finding the Fourth Proportional to 294.80, 407.02 and 189.94

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Solution

The fourth proportional to 294.80, 407.02 and 189.94 is: 262.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    294.80 : 407.02 = 189.94 : x
  2. Step 2: Convert to fraction form
    294.80/407.02 = 189.94/x
  3. Step 3: Cross multiply
    294.80x = 407.02 × 189.94
  4. Step 4: Simplify right side
    294.80x = 77,309.38
  5. Step 5: Solve for x
    x = 77,309.38/294.80
  6. Step 6: Final answer
    x = 262.24

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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.