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Finding the Fourth Proportional to 607.23, 910.85 and 196.40

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Solution

The fourth proportional to 607.23, 910.85 and 196.40 is: 294.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    607.23 : 910.85 = 196.40 : x
  2. Step 2: Convert to fraction form
    607.23/910.85 = 196.40/x
  3. Step 3: Cross multiply
    607.23x = 910.85 × 196.40
  4. Step 4: Simplify right side
    607.23x = 178,885.40
  5. Step 5: Solve for x
    x = 178,885.40/607.23
  6. Step 6: Final answer
    x = 294.59

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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.