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Finding the Fourth Proportional to 456.75, 685.16 and 164.34

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Solution

The fourth proportional to 456.75, 685.16 and 164.34 is: 246.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    456.75 : 685.16 = 164.34 : x
  2. Step 2: Convert to fraction form
    456.75/685.16 = 164.34/x
  3. Step 3: Cross multiply
    456.75x = 685.16 × 164.34
  4. Step 4: Simplify right side
    456.75x = 112,598.37
  5. Step 5: Solve for x
    x = 112,598.37/456.75
  6. Step 6: Final answer
    x = 246.52

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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.