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Finding the Fourth Proportional to 357.06, 535.83 and 164.69

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Solution

The fourth proportional to 357.06, 535.83 and 164.69 is: 247.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    357.06 : 535.83 = 164.69 : x
  2. Step 2: Convert to fraction form
    357.06/535.83 = 164.69/x
  3. Step 3: Cross multiply
    357.06x = 535.83 × 164.69
  4. Step 4: Simplify right side
    357.06x = 88,245.84
  5. Step 5: Solve for x
    x = 88,245.84/357.06
  6. Step 6: Final answer
    x = 247.15

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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.