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Finding the Fourth Proportional to 357.27, 492.90 and 217.34

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Solution

The fourth proportional to 357.27, 492.90 and 217.34 is: 299.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    357.27 : 492.90 = 217.34 : x
  2. Step 2: Convert to fraction form
    357.27/492.90 = 217.34/x
  3. Step 3: Cross multiply
    357.27x = 492.90 × 217.34
  4. Step 4: Simplify right side
    357.27x = 107,126.89
  5. Step 5: Solve for x
    x = 107,126.89/357.27
  6. Step 6: Final answer
    x = 299.85

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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.