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Finding the Fourth Proportional to 657.70, 986.64 and 195.42

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Solution

The fourth proportional to 657.70, 986.64 and 195.42 is: 293.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    657.70 : 986.64 = 195.42 : x
  2. Step 2: Convert to fraction form
    657.70/986.64 = 195.42/x
  3. Step 3: Cross multiply
    657.70x = 986.64 × 195.42
  4. Step 4: Simplify right side
    657.70x = 192,809.19
  5. Step 5: Solve for x
    x = 192,809.19/657.70
  6. Step 6: Final answer
    x = 293.16

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.