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Finding the Fourth Proportional to 614.45, 921.36 and 181.55

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Solution

The fourth proportional to 614.45, 921.36 and 181.55 is: 272.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    614.45 : 921.36 = 181.55 : x
  2. Step 2: Convert to fraction form
    614.45/921.36 = 181.55/x
  3. Step 3: Cross multiply
    614.45x = 921.36 × 181.55
  4. Step 4: Simplify right side
    614.45x = 167,272.91
  5. Step 5: Solve for x
    x = 167,272.91/614.45
  6. Step 6: Final answer
    x = 272.23

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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.