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Finding the Fourth Proportional to 286.64, 430.04 and 113.33

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Solution

The fourth proportional to 286.64, 430.04 and 113.33 is: 170.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    286.64 : 430.04 = 113.33 : x
  2. Step 2: Convert to fraction form
    286.64/430.04 = 113.33/x
  3. Step 3: Cross multiply
    286.64x = 430.04 × 113.33
  4. Step 4: Simplify right side
    286.64x = 48,737.79
  5. Step 5: Solve for x
    x = 48,737.79/286.64
  6. Step 6: Final answer
    x = 170.03

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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.