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Finding the Fourth Proportional to 354.10, 531.03 and 122.95

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Solution

The fourth proportional to 354.10, 531.03 and 122.95 is: 184.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    354.10 : 531.03 = 122.95 : x
  2. Step 2: Convert to fraction form
    354.10/531.03 = 122.95/x
  3. Step 3: Cross multiply
    354.10x = 531.03 × 122.95
  4. Step 4: Simplify right side
    354.10x = 65,290.14
  5. Step 5: Solve for x
    x = 65,290.14/354.10
  6. Step 6: Final answer
    x = 184.38

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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.