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Finding the Fourth Proportional to 352.85, 486.90 and 193.30

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Solution

The fourth proportional to 352.85, 486.90 and 193.30 is: 266.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    352.85 : 486.90 = 193.30 : x
  2. Step 2: Convert to fraction form
    352.85/486.90 = 193.30/x
  3. Step 3: Cross multiply
    352.85x = 486.90 × 193.30
  4. Step 4: Simplify right side
    352.85x = 94,117.28
  5. Step 5: Solve for x
    x = 94,117.28/352.85
  6. Step 6: Final answer
    x = 266.74

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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.