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Finding the Fourth Proportional to 336.96, 465.30 and 206.16

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Solution

The fourth proportional to 336.96, 465.30 and 206.16 is: 284.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    336.96 : 465.30 = 206.16 : x
  2. Step 2: Convert to fraction form
    336.96/465.30 = 206.16/x
  3. Step 3: Cross multiply
    336.96x = 465.30 × 206.16
  4. Step 4: Simplify right side
    336.96x = 95,926.25
  5. Step 5: Solve for x
    x = 95,926.25/336.96
  6. Step 6: Final answer
    x = 284.68

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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.