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Finding the Fourth Proportional to 614.52, 921.69 and 181.80

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Solution

The fourth proportional to 614.52, 921.69 and 181.80 is: 272.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    614.52 : 921.69 = 181.80 : x
  2. Step 2: Convert to fraction form
    614.52/921.69 = 181.80/x
  3. Step 3: Cross multiply
    614.52x = 921.69 × 181.80
  4. Step 4: Simplify right side
    614.52x = 167,563.24
  5. Step 5: Solve for x
    x = 167,563.24/614.52
  6. Step 6: Final answer
    x = 272.67

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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.