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Finding the Fourth Proportional to 574.76, 862.26 and 164.02

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Solution

The fourth proportional to 574.76, 862.26 and 164.02 is: 246.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    574.76 : 862.26 = 164.02 : x
  2. Step 2: Convert to fraction form
    574.76/862.26 = 164.02/x
  3. Step 3: Cross multiply
    574.76x = 862.26 × 164.02
  4. Step 4: Simplify right side
    574.76x = 141,427.89
  5. Step 5: Solve for x
    x = 141,427.89/574.76
  6. Step 6: Final answer
    x = 246.06

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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.