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Finding the Fourth Proportional to 614.21, 921.47 and 181.36

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Solution

The fourth proportional to 614.21, 921.47 and 181.36 is: 272.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    614.21 : 921.47 = 181.36 : x
  2. Step 2: Convert to fraction form
    614.21/921.47 = 181.36/x
  3. Step 3: Cross multiply
    614.21x = 921.47 × 181.36
  4. Step 4: Simplify right side
    614.21x = 167,118.04
  5. Step 5: Solve for x
    x = 167,118.04/614.21
  6. Step 6: Final answer
    x = 272.09

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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.