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Finding the Fourth Proportional to 552.45, 828.63 and 141.57

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Solution

The fourth proportional to 552.45, 828.63 and 141.57 is: 212.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    552.45 : 828.63 = 141.57 : x
  2. Step 2: Convert to fraction form
    552.45/828.63 = 141.57/x
  3. Step 3: Cross multiply
    552.45x = 828.63 × 141.57
  4. Step 4: Simplify right side
    552.45x = 117,309.15
  5. Step 5: Solve for x
    x = 117,309.15/552.45
  6. Step 6: Final answer
    x = 212.34

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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.