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Finding the Fourth Proportional to 357.70, 493.61 and 210.30

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Solution

The fourth proportional to 357.70, 493.61 and 210.30 is: 290.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    357.70 : 493.61 = 210.30 : x
  2. Step 2: Convert to fraction form
    357.70/493.61 = 210.30/x
  3. Step 3: Cross multiply
    357.70x = 493.61 × 210.30
  4. Step 4: Simplify right side
    357.70x = 103,806.18
  5. Step 5: Solve for x
    x = 103,806.18/357.70
  6. Step 6: Final answer
    x = 290.20

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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.