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Finding the Fourth Proportional to 332.26, 497.40 and 194.92

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Solution

The fourth proportional to 332.26, 497.40 and 194.92 is: 291.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    332.26 : 497.40 = 194.92 : x
  2. Step 2: Convert to fraction form
    332.26/497.40 = 194.92/x
  3. Step 3: Cross multiply
    332.26x = 497.40 × 194.92
  4. Step 4: Simplify right side
    332.26x = 96,953.21
  5. Step 5: Solve for x
    x = 96,953.21/332.26
  6. Step 6: Final answer
    x = 291.80

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.