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Finding the Fourth Proportional to 333.84, 500.13 and 189.66

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Solution

The fourth proportional to 333.84, 500.13 and 189.66 is: 284.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    333.84 : 500.13 = 189.66 : x
  2. Step 2: Convert to fraction form
    333.84/500.13 = 189.66/x
  3. Step 3: Cross multiply
    333.84x = 500.13 × 189.66
  4. Step 4: Simplify right side
    333.84x = 94,854.66
  5. Step 5: Solve for x
    x = 94,854.66/333.84
  6. Step 6: Final answer
    x = 284.13

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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.