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Finding the Fourth Proportional to 352.42, 486.36 and 205.12

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Solution

The fourth proportional to 352.42, 486.36 and 205.12 is: 283.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    352.42 : 486.36 = 205.12 : x
  2. Step 2: Convert to fraction form
    352.42/486.36 = 205.12/x
  3. Step 3: Cross multiply
    352.42x = 486.36 × 205.12
  4. Step 4: Simplify right side
    352.42x = 99,762.16
  5. Step 5: Solve for x
    x = 99,762.16/352.42
  6. Step 6: Final answer
    x = 283.08

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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.