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Finding the Fourth Proportional to 410.37, 615.55 and 121.83

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Solution

The fourth proportional to 410.37, 615.55 and 121.83 is: 182.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    410.37 : 615.55 = 121.83 : x
  2. Step 2: Convert to fraction form
    410.37/615.55 = 121.83/x
  3. Step 3: Cross multiply
    410.37x = 615.55 × 121.83
  4. Step 4: Simplify right side
    410.37x = 74,992.46
  5. Step 5: Solve for x
    x = 74,992.46/410.37
  6. Step 6: Final answer
    x = 182.74

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.