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Finding the Fourth Proportional to 301.69, 454.75 and 248.23

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Solution

The fourth proportional to 301.69, 454.75 and 248.23 is: 374.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    301.69 : 454.75 = 248.23 : x
  2. Step 2: Convert to fraction form
    301.69/454.75 = 248.23/x
  3. Step 3: Cross multiply
    301.69x = 454.75 × 248.23
  4. Step 4: Simplify right side
    301.69x = 112,882.59
  5. Step 5: Solve for x
    x = 112,882.59/301.69
  6. Step 6: Final answer
    x = 374.17

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.