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Finding the Fourth Proportional to 286.41, 429.59 and 113.06

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Solution

The fourth proportional to 286.41, 429.59 and 113.06 is: 169.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    286.41 : 429.59 = 113.06 : x
  2. Step 2: Convert to fraction form
    286.41/429.59 = 113.06/x
  3. Step 3: Cross multiply
    286.41x = 429.59 × 113.06
  4. Step 4: Simplify right side
    286.41x = 48,569.45
  5. Step 5: Solve for x
    x = 48,569.45/286.41
  6. Step 6: Final answer
    x = 169.58

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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.