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Finding the Fourth Proportional to 657.48, 985.99 and 195.15

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Solution

The fourth proportional to 657.48, 985.99 and 195.15 is: 292.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    657.48 : 985.99 = 195.15 : x
  2. Step 2: Convert to fraction form
    657.48/985.99 = 195.15/x
  3. Step 3: Cross multiply
    657.48x = 985.99 × 195.15
  4. Step 4: Simplify right side
    657.48x = 192,415.95
  5. Step 5: Solve for x
    x = 192,415.95/657.48
  6. Step 6: Final answer
    x = 292.66

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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.