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Finding the Fourth Proportional to 607.14, 910.76 and 196.34

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Solution

The fourth proportional to 607.14, 910.76 and 196.34 is: 294.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    607.14 : 910.76 = 196.34 : x
  2. Step 2: Convert to fraction form
    607.14/910.76 = 196.34/x
  3. Step 3: Cross multiply
    607.14x = 910.76 × 196.34
  4. Step 4: Simplify right side
    607.14x = 178,818.62
  5. Step 5: Solve for x
    x = 178,818.62/607.14
  6. Step 6: Final answer
    x = 294.53

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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.