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Finding the Fourth Proportional to 398.86, 598.08 and 182.25

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Solution

The fourth proportional to 398.86, 598.08 and 182.25 is: 273.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    398.86 : 598.08 = 182.25 : x
  2. Step 2: Convert to fraction form
    398.86/598.08 = 182.25/x
  3. Step 3: Cross multiply
    398.86x = 598.08 × 182.25
  4. Step 4: Simplify right side
    398.86x = 109,000.76
  5. Step 5: Solve for x
    x = 109,000.76/398.86
  6. Step 6: Final answer
    x = 273.28

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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.