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Finding the Fourth Proportional to 410.23, 615.26 and 121.60

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Solution

The fourth proportional to 410.23, 615.26 and 121.60 is: 182.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    410.23 : 615.26 = 121.60 : x
  2. Step 2: Convert to fraction form
    410.23/615.26 = 121.60/x
  3. Step 3: Cross multiply
    410.23x = 615.26 × 121.60
  4. Step 4: Simplify right side
    410.23x = 74,815.62
  5. Step 5: Solve for x
    x = 74,815.62/410.23
  6. Step 6: Final answer
    x = 182.37

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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.