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Finding the Fourth Proportional to 657.95, 986.90 and 171

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Solution

The fourth proportional to 657.95, 986.90 and 171 is: 256.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    657.95 : 986.90 = 171 : x
  2. Step 2: Convert to fraction form
    657.95/986.90 = 171/x
  3. Step 3: Cross multiply
    657.95x = 986.90 × 171
  4. Step 4: Simplify right side
    657.95x = 168,759.05
  5. Step 5: Solve for x
    x = 168,759.05/657.95
  6. Step 6: Final answer
    x = 256.49

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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.