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Finding the Fourth Proportional to 425.36, 638.10 and 181.89

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Solution

The fourth proportional to 425.36, 638.10 and 181.89 is: 272.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    425.36 : 638.10 = 181.89 : x
  2. Step 2: Convert to fraction form
    425.36/638.10 = 181.89/x
  3. Step 3: Cross multiply
    425.36x = 638.10 × 181.89
  4. Step 4: Simplify right side
    425.36x = 116,064.01
  5. Step 5: Solve for x
    x = 116,064.01/425.36
  6. Step 6: Final answer
    x = 272.86

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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.