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Finding the Fourth Proportional to 575.14, 862.84 and 164.28

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Solution

The fourth proportional to 575.14, 862.84 and 164.28 is: 246.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    575.14 : 862.84 = 164.28 : x
  2. Step 2: Convert to fraction form
    575.14/862.84 = 164.28/x
  3. Step 3: Cross multiply
    575.14x = 862.84 × 164.28
  4. Step 4: Simplify right side
    575.14x = 141,748.44
  5. Step 5: Solve for x
    x = 141,748.44/575.14
  6. Step 6: Final answer
    x = 246.46

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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.