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Finding the Fourth Proportional to 286.47, 429.57 and 113.13

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Solution

The fourth proportional to 286.47, 429.57 and 113.13 is: 169.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    286.47 : 429.57 = 113.13 : x
  2. Step 2: Convert to fraction form
    286.47/429.57 = 113.13/x
  3. Step 3: Cross multiply
    286.47x = 429.57 × 113.13
  4. Step 4: Simplify right side
    286.47x = 48,597.25
  5. Step 5: Solve for x
    x = 48,597.25/286.47
  6. Step 6: Final answer
    x = 169.64

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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.