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Finding the Fourth Proportional to 357.29, 493.16 and 209.98

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Solution

The fourth proportional to 357.29, 493.16 and 209.98 is: 289.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    357.29 : 493.16 = 209.98 : x
  2. Step 2: Convert to fraction form
    357.29/493.16 = 209.98/x
  3. Step 3: Cross multiply
    357.29x = 493.16 × 209.98
  4. Step 4: Simplify right side
    357.29x = 103,552.30
  5. Step 5: Solve for x
    x = 103,552.30/357.29
  6. Step 6: Final answer
    x = 289.82

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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.