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Finding the Fourth Proportional to 657.10, 985.65 and 194.86

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Solution

The fourth proportional to 657.10, 985.65 and 194.86 is: 292.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    657.10 : 985.65 = 194.86 : x
  2. Step 2: Convert to fraction form
    657.10/985.65 = 194.86/x
  3. Step 3: Cross multiply
    657.10x = 985.65 × 194.86
  4. Step 4: Simplify right side
    657.10x = 192,063.76
  5. Step 5: Solve for x
    x = 192,063.76/657.10
  6. Step 6: Final answer
    x = 292.29

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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.