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Finding the Fourth Proportional to 425.66, 637.92 and 194.00

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Solution

The fourth proportional to 425.66, 637.92 and 194.00 is: 290.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    425.66 : 637.92 = 194.00 : x
  2. Step 2: Convert to fraction form
    425.66/637.92 = 194.00/x
  3. Step 3: Cross multiply
    425.66x = 637.92 × 194.00
  4. Step 4: Simplify right side
    425.66x = 123,753.29
  5. Step 5: Solve for x
    x = 123,753.29/425.66
  6. Step 6: Final answer
    x = 290.74

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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.