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Finding the Fourth Proportional to 253.81, 350.26 and 137.38

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Solution

The fourth proportional to 253.81, 350.26 and 137.38 is: 189.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    253.81 : 350.26 = 137.38 : x
  2. Step 2: Convert to fraction form
    253.81/350.26 = 137.38/x
  3. Step 3: Cross multiply
    253.81x = 350.26 × 137.38
  4. Step 4: Simplify right side
    253.81x = 48,117.14
  5. Step 5: Solve for x
    x = 48,117.14/253.81
  6. Step 6: Final answer
    x = 189.58

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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.