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Finding the Fourth Proportional to 656.86, 985.31 and 194.63

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Solution

The fourth proportional to 656.86, 985.31 and 194.63 is: 291.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    656.86 : 985.31 = 194.63 : x
  2. Step 2: Convert to fraction form
    656.86/985.31 = 194.63/x
  3. Step 3: Cross multiply
    656.86x = 985.31 × 194.63
  4. Step 4: Simplify right side
    656.86x = 191,769.58
  5. Step 5: Solve for x
    x = 191,769.58/656.86
  6. Step 6: Final answer
    x = 291.95

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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.