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Finding the Fourth Proportional to 286.46, 429.21 and 188.84

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Solution

The fourth proportional to 286.46, 429.21 and 188.84 is: 282.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    286.46 : 429.21 = 188.84 : x
  2. Step 2: Convert to fraction form
    286.46/429.21 = 188.84/x
  3. Step 3: Cross multiply
    286.46x = 429.21 × 188.84
  4. Step 4: Simplify right side
    286.46x = 81,052.02
  5. Step 5: Solve for x
    x = 81,052.02/286.46
  6. Step 6: Final answer
    x = 282.94

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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.