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Finding the Fourth Proportional to 615.35, 923.02 and 182.47

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Solution

The fourth proportional to 615.35, 923.02 and 182.47 is: 273.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    615.35 : 923.02 = 182.47 : x
  2. Step 2: Convert to fraction form
    615.35/923.02 = 182.47/x
  3. Step 3: Cross multiply
    615.35x = 923.02 × 182.47
  4. Step 4: Simplify right side
    615.35x = 168,420.70
  5. Step 5: Solve for x
    x = 168,420.70/615.35
  6. Step 6: Final answer
    x = 273.70

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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.