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Finding the Fourth Proportional to 357.62, 493.51 and 200.25

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Solution

The fourth proportional to 357.62, 493.51 and 200.25 is: 276.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    357.62 : 493.51 = 200.25 : x
  2. Step 2: Convert to fraction form
    357.62/493.51 = 200.25/x
  3. Step 3: Cross multiply
    357.62x = 493.51 × 200.25
  4. Step 4: Simplify right side
    357.62x = 98,825.38
  5. Step 5: Solve for x
    x = 98,825.38/357.62
  6. Step 6: Final answer
    x = 276.34

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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.