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Finding the Fourth Proportional to 410.11, 615.25 and 121.54

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Solution

The fourth proportional to 410.11, 615.25 and 121.54 is: 182.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    410.11 : 615.25 = 121.54 : x
  2. Step 2: Convert to fraction form
    410.11/615.25 = 121.54/x
  3. Step 3: Cross multiply
    410.11x = 615.25 × 121.54
  4. Step 4: Simplify right side
    410.11x = 74,777.49
  5. Step 5: Solve for x
    x = 74,777.49/410.11
  6. Step 6: Final answer
    x = 182.34

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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.