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Finding the Fourth Proportional to 286.74, 429.99 and 104.07

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Solution

The fourth proportional to 286.74, 429.99 and 104.07 is: 156.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    286.74 : 429.99 = 104.07 : x
  2. Step 2: Convert to fraction form
    286.74/429.99 = 104.07/x
  3. Step 3: Cross multiply
    286.74x = 429.99 × 104.07
  4. Step 4: Simplify right side
    286.74x = 44,749.06
  5. Step 5: Solve for x
    x = 44,749.06/286.74
  6. Step 6: Final answer
    x = 156.06

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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.