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Finding the Fourth Proportional to 615.54, 923.40 and 182.82

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Solution

The fourth proportional to 615.54, 923.40 and 182.82 is: 274.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    615.54 : 923.40 = 182.82 : x
  2. Step 2: Convert to fraction form
    615.54/923.40 = 182.82/x
  3. Step 3: Cross multiply
    615.54x = 923.40 × 182.82
  4. Step 4: Simplify right side
    615.54x = 168,815.99
  5. Step 5: Solve for x
    x = 168,815.99/615.54
  6. Step 6: Final answer
    x = 274.26

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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.