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Finding the Fourth Proportional to 557.31, 835.95 and 146.44

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Solution

The fourth proportional to 557.31, 835.95 and 146.44 is: 219.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    557.31 : 835.95 = 146.44 : x
  2. Step 2: Convert to fraction form
    557.31/835.95 = 146.44/x
  3. Step 3: Cross multiply
    557.31x = 835.95 × 146.44
  4. Step 4: Simplify right side
    557.31x = 122,418.11
  5. Step 5: Solve for x
    x = 122,418.11/557.31
  6. Step 6: Final answer
    x = 219.66

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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.