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Finding the Fourth Proportional to 357.50, 493.21 and 210.08

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Solution

The fourth proportional to 357.50, 493.21 and 210.08 is: 289.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    357.50 : 493.21 = 210.08 : x
  2. Step 2: Convert to fraction form
    357.50/493.21 = 210.08/x
  3. Step 3: Cross multiply
    357.50x = 493.21 × 210.08
  4. Step 4: Simplify right side
    357.50x = 103,613.56
  5. Step 5: Solve for x
    x = 103,613.56/357.50
  6. Step 6: Final answer
    x = 289.83

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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.