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Finding the Fourth Proportional to 614.65, 921.96 and 181.81

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Solution

The fourth proportional to 614.65, 921.96 and 181.81 is: 272.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    614.65 : 921.96 = 181.81 : x
  2. Step 2: Convert to fraction form
    614.65/921.96 = 181.81/x
  3. Step 3: Cross multiply
    614.65x = 921.96 × 181.81
  4. Step 4: Simplify right side
    614.65x = 167,621.55
  5. Step 5: Solve for x
    x = 167,621.55/614.65
  6. Step 6: Final answer
    x = 272.71

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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.