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Finding the Fourth Proportional to 352.16, 486.18 and 282.14

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Solution

The fourth proportional to 352.16, 486.18 and 282.14 is: 389.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    352.16 : 486.18 = 282.14 : x
  2. Step 2: Convert to fraction form
    352.16/486.18 = 282.14/x
  3. Step 3: Cross multiply
    352.16x = 486.18 × 282.14
  4. Step 4: Simplify right side
    352.16x = 137,170.83
  5. Step 5: Solve for x
    x = 137,170.83/352.16
  6. Step 6: Final answer
    x = 389.51

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.