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Finding the Fourth Proportional to 354.37, 531.63 and 123.20

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Solution

The fourth proportional to 354.37, 531.63 and 123.20 is: 184.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    354.37 : 531.63 = 123.20 : x
  2. Step 2: Convert to fraction form
    354.37/531.63 = 123.20/x
  3. Step 3: Cross multiply
    354.37x = 531.63 × 123.20
  4. Step 4: Simplify right side
    354.37x = 65,496.15
  5. Step 5: Solve for x
    x = 65,496.15/354.37
  6. Step 6: Final answer
    x = 184.82

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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.