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Finding the Fourth Proportional to 194.48, 291.76 and 103.26

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Solution

The fourth proportional to 194.48, 291.76 and 103.26 is: 154.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    194.48 : 291.76 = 103.26 : x
  2. Step 2: Convert to fraction form
    194.48/291.76 = 103.26/x
  3. Step 3: Cross multiply
    194.48x = 291.76 × 103.26
  4. Step 4: Simplify right side
    194.48x = 30,127.14
  5. Step 5: Solve for x
    x = 30,127.14/194.48
  6. Step 6: Final answer
    x = 154.91

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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.