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Finding the Fourth Proportional to 357.64, 493.57 and 200.29

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Solution

The fourth proportional to 357.64, 493.57 and 200.29 is: 276.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    357.64 : 493.57 = 200.29 : x
  2. Step 2: Convert to fraction form
    357.64/493.57 = 200.29/x
  3. Step 3: Cross multiply
    357.64x = 493.57 × 200.29
  4. Step 4: Simplify right side
    357.64x = 98,853.67
  5. Step 5: Solve for x
    x = 98,853.67/357.64
  6. Step 6: Final answer
    x = 276.41

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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.