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Finding the Fourth Proportional to 292.93, 404.59 and 194.52

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Solution

The fourth proportional to 292.93, 404.59 and 194.52 is: 268.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    292.93 : 404.59 = 194.52 : x
  2. Step 2: Convert to fraction form
    292.93/404.59 = 194.52/x
  3. Step 3: Cross multiply
    292.93x = 404.59 × 194.52
  4. Step 4: Simplify right side
    292.93x = 78,699.35
  5. Step 5: Solve for x
    x = 78,699.35/292.93
  6. Step 6: Final answer
    x = 268.66

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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.