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Finding the Fourth Proportional to 292.69, 403.77 and 194.32

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Solution

The fourth proportional to 292.69, 403.77 and 194.32 is: 268.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    292.69 : 403.77 = 194.32 : x
  2. Step 2: Convert to fraction form
    292.69/403.77 = 194.32/x
  3. Step 3: Cross multiply
    292.69x = 403.77 × 194.32
  4. Step 4: Simplify right side
    292.69x = 78,460.59
  5. Step 5: Solve for x
    x = 78,460.59/292.69
  6. Step 6: Final answer
    x = 268.07

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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.