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Finding the Fourth Proportional to 574.82, 862.25 and 164

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Solution

The fourth proportional to 574.82, 862.25 and 164 is: 246.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    574.82 : 862.25 = 164 : x
  2. Step 2: Convert to fraction form
    574.82/862.25 = 164/x
  3. Step 3: Cross multiply
    574.82x = 862.25 × 164
  4. Step 4: Simplify right side
    574.82x = 141,409
  5. Step 5: Solve for x
    x = 141,409/574.82
  6. Step 6: Final answer
    x = 246.01

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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.