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Finding the Fourth Proportional to 575.93, 863.77 and 164.96

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Solution

The fourth proportional to 575.93, 863.77 and 164.96 is: 247.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    575.93 : 863.77 = 164.96 : x
  2. Step 2: Convert to fraction form
    575.93/863.77 = 164.96/x
  3. Step 3: Cross multiply
    575.93x = 863.77 × 164.96
  4. Step 4: Simplify right side
    575.93x = 142,482.77
  5. Step 5: Solve for x
    x = 142,482.77/575.93
  6. Step 6: Final answer
    x = 247.39

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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.