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Finding the Fourth Proportional to 615.02, 922.21 and 182.12

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Solution

The fourth proportional to 615.02, 922.21 and 182.12 is: 273.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    615.02 : 922.21 = 182.12 : x
  2. Step 2: Convert to fraction form
    615.02/922.21 = 182.12/x
  3. Step 3: Cross multiply
    615.02x = 922.21 × 182.12
  4. Step 4: Simplify right side
    615.02x = 167,947.36
  5. Step 5: Solve for x
    x = 167,947.36/615.02
  6. Step 6: Final answer
    x = 273.08

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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.