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Finding the Fourth Proportional to 357.30, 493.19 and 209.88

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Solution

The fourth proportional to 357.30, 493.19 and 209.88 is: 289.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    357.30 : 493.19 = 209.88 : x
  2. Step 2: Convert to fraction form
    357.30/493.19 = 209.88/x
  3. Step 3: Cross multiply
    357.30x = 493.19 × 209.88
  4. Step 4: Simplify right side
    357.30x = 103,509.67
  5. Step 5: Solve for x
    x = 103,509.67/357.30
  6. Step 6: Final answer
    x = 289.70

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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.