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Finding the Fourth Proportional to 398.13, 597.23 and 181.47

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Solution

The fourth proportional to 398.13, 597.23 and 181.47 is: 272.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    398.13 : 597.23 = 181.47 : x
  2. Step 2: Convert to fraction form
    398.13/597.23 = 181.47/x
  3. Step 3: Cross multiply
    398.13x = 597.23 × 181.47
  4. Step 4: Simplify right side
    398.13x = 108,378.42
  5. Step 5: Solve for x
    x = 108,378.42/398.13
  6. Step 6: Final answer
    x = 272.22

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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.