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Finding the Fourth Proportional to 614.66, 922.16 and 181.81

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Solution

The fourth proportional to 614.66, 922.16 and 181.81 is: 272.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    614.66 : 922.16 = 181.81 : x
  2. Step 2: Convert to fraction form
    614.66/922.16 = 181.81/x
  3. Step 3: Cross multiply
    614.66x = 922.16 × 181.81
  4. Step 4: Simplify right side
    614.66x = 167,659.31
  5. Step 5: Solve for x
    x = 167,659.31/614.66
  6. Step 6: Final answer
    x = 272.77

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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.