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Finding the Fourth Proportional to 286.51, 429.46 and 195.25

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Solution

The fourth proportional to 286.51, 429.46 and 195.25 is: 292.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    286.51 : 429.46 = 195.25 : x
  2. Step 2: Convert to fraction form
    286.51/429.46 = 195.25/x
  3. Step 3: Cross multiply
    286.51x = 429.46 × 195.25
  4. Step 4: Simplify right side
    286.51x = 83,852.07
  5. Step 5: Solve for x
    x = 83,852.07/286.51
  6. Step 6: Final answer
    x = 292.67

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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.