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Finding the Fourth Proportional to 657.07, 985.53 and 170.09

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Solution

The fourth proportional to 657.07, 985.53 and 170.09 is: 255.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    657.07 : 985.53 = 170.09 : x
  2. Step 2: Convert to fraction form
    657.07/985.53 = 170.09/x
  3. Step 3: Cross multiply
    657.07x = 985.53 × 170.09
  4. Step 4: Simplify right side
    657.07x = 167,624.30
  5. Step 5: Solve for x
    x = 167,624.30/657.07
  6. Step 6: Final answer
    x = 255.11

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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.