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Finding the Fourth Proportional to 357.63, 493.42 and 200.24

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Solution

The fourth proportional to 357.63, 493.42 and 200.24 is: 276.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    357.63 : 493.42 = 200.24 : x
  2. Step 2: Convert to fraction form
    357.63/493.42 = 200.24/x
  3. Step 3: Cross multiply
    357.63x = 493.42 × 200.24
  4. Step 4: Simplify right side
    357.63x = 98,801.42
  5. Step 5: Solve for x
    x = 98,801.42/357.63
  6. Step 6: Final answer
    x = 276.27

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.