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Finding the Fourth Proportional to 336.38, 464.21 and 189.02

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Solution

The fourth proportional to 336.38, 464.21 and 189.02 is: 260.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    336.38 : 464.21 = 189.02 : x
  2. Step 2: Convert to fraction form
    336.38/464.21 = 189.02/x
  3. Step 3: Cross multiply
    336.38x = 464.21 × 189.02
  4. Step 4: Simplify right side
    336.38x = 87,741.71
  5. Step 5: Solve for x
    x = 87,741.71/336.38
  6. Step 6: Final answer
    x = 260.84

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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.