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Finding the Fourth Proportional to 352.32, 486.30 and 205.02

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Solution

The fourth proportional to 352.32, 486.30 and 205.02 is: 282.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    352.32 : 486.30 = 205.02 : x
  2. Step 2: Convert to fraction form
    352.32/486.30 = 205.02/x
  3. Step 3: Cross multiply
    352.32x = 486.30 × 205.02
  4. Step 4: Simplify right side
    352.32x = 99,701.23
  5. Step 5: Solve for x
    x = 99,701.23/352.32
  6. Step 6: Final answer
    x = 282.98

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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.