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Finding the Fourth Proportional to 657.05, 985.56 and 170.09

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Solution

The fourth proportional to 657.05, 985.56 and 170.09 is: 255.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    657.05 : 985.56 = 170.09 : x
  2. Step 2: Convert to fraction form
    657.05/985.56 = 170.09/x
  3. Step 3: Cross multiply
    657.05x = 985.56 × 170.09
  4. Step 4: Simplify right side
    657.05x = 167,636.36
  5. Step 5: Solve for x
    x = 167,636.36/657.05
  6. Step 6: Final answer
    x = 255.14

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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.