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Finding the Fourth Proportional to 657.26, 985.55 and 194.98

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Solution

The fourth proportional to 657.26, 985.55 and 194.98 is: 292.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    657.26 : 985.55 = 194.98 : x
  2. Step 2: Convert to fraction form
    657.26/985.55 = 194.98/x
  3. Step 3: Cross multiply
    657.26x = 985.55 × 194.98
  4. Step 4: Simplify right side
    657.26x = 192,156.64
  5. Step 5: Solve for x
    x = 192,156.64/657.26
  6. Step 6: Final answer
    x = 292.36

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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.