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Finding the Fourth Proportional to 398.80, 598.16 and 110.24

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Solution

The fourth proportional to 398.80, 598.16 and 110.24 is: 165.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    398.80 : 598.16 = 110.24 : x
  2. Step 2: Convert to fraction form
    398.80/598.16 = 110.24/x
  3. Step 3: Cross multiply
    398.80x = 598.16 × 110.24
  4. Step 4: Simplify right side
    398.80x = 65,941.16
  5. Step 5: Solve for x
    x = 65,941.16/398.80
  6. Step 6: Final answer
    x = 165.35

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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.