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Finding the Fourth Proportional to 575.64, 863.46 and 142.80

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Solution

The fourth proportional to 575.64, 863.46 and 142.80 is: 214.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    575.64 : 863.46 = 142.80 : x
  2. Step 2: Convert to fraction form
    575.64/863.46 = 142.80/x
  3. Step 3: Cross multiply
    575.64x = 863.46 × 142.80
  4. Step 4: Simplify right side
    575.64x = 123,298.85
  5. Step 5: Solve for x
    x = 123,298.85/575.64
  6. Step 6: Final answer
    x = 214.19

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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.