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Finding the Fourth Proportional to 575.10, 862.63 and 142.26

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Solution

The fourth proportional to 575.10, 862.63 and 142.26 is: 213.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    575.10 : 862.63 = 142.26 : x
  2. Step 2: Convert to fraction form
    575.10/862.63 = 142.26/x
  3. Step 3: Cross multiply
    575.10x = 862.63 × 142.26
  4. Step 4: Simplify right side
    575.10x = 122,717.74
  5. Step 5: Solve for x
    x = 122,717.74/575.10
  6. Step 6: Final answer
    x = 213.39

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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.