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Finding the Fourth Proportional to 457.12, 685.74 and 164.57

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Solution

The fourth proportional to 457.12, 685.74 and 164.57 is: 246.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    457.12 : 685.74 = 164.57 : x
  2. Step 2: Convert to fraction form
    457.12/685.74 = 164.57/x
  3. Step 3: Cross multiply
    457.12x = 685.74 × 164.57
  4. Step 4: Simplify right side
    457.12x = 112,852.23
  5. Step 5: Solve for x
    x = 112,852.23/457.12
  6. Step 6: Final answer
    x = 246.88

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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.