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Finding the Fourth Proportional to 615.34, 923.10 and 182.53

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Solution

The fourth proportional to 615.34, 923.10 and 182.53 is: 273.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    615.34 : 923.10 = 182.53 : x
  2. Step 2: Convert to fraction form
    615.34/923.10 = 182.53/x
  3. Step 3: Cross multiply
    615.34x = 923.10 × 182.53
  4. Step 4: Simplify right side
    615.34x = 168,493.44
  5. Step 5: Solve for x
    x = 168,493.44/615.34
  6. Step 6: Final answer
    x = 273.82

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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.