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Finding the Fourth Proportional to 286.36, 429.28 and 121.84

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Solution

The fourth proportional to 286.36, 429.28 and 121.84 is: 182.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    286.36 : 429.28 = 121.84 : x
  2. Step 2: Convert to fraction form
    286.36/429.28 = 121.84/x
  3. Step 3: Cross multiply
    286.36x = 429.28 × 121.84
  4. Step 4: Simplify right side
    286.36x = 52,303.48
  5. Step 5: Solve for x
    x = 52,303.48/286.36
  6. Step 6: Final answer
    x = 182.65

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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.