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Finding the Fourth Proportional to 334.08, 500.64 and 189.84

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Solution

The fourth proportional to 334.08, 500.64 and 189.84 is: 284.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    334.08 : 500.64 = 189.84 : x
  2. Step 2: Convert to fraction form
    334.08/500.64 = 189.84/x
  3. Step 3: Cross multiply
    334.08x = 500.64 × 189.84
  4. Step 4: Simplify right side
    334.08x = 95,041.50
  5. Step 5: Solve for x
    x = 95,041.50/334.08
  6. Step 6: Final answer
    x = 284.49

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.