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Finding the Fourth Proportional to 657.34, 986.19 and 195.11

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Solution

The fourth proportional to 657.34, 986.19 and 195.11 is: 292.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    657.34 : 986.19 = 195.11 : x
  2. Step 2: Convert to fraction form
    657.34/986.19 = 195.11/x
  3. Step 3: Cross multiply
    657.34x = 986.19 × 195.11
  4. Step 4: Simplify right side
    657.34x = 192,415.53
  5. Step 5: Solve for x
    x = 192,415.53/657.34
  6. Step 6: Final answer
    x = 292.72

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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.