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Finding the Fourth Proportional to 287.23, 430.67 and 113.77

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Solution

The fourth proportional to 287.23, 430.67 and 113.77 is: 170.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    287.23 : 430.67 = 113.77 : x
  2. Step 2: Convert to fraction form
    287.23/430.67 = 113.77/x
  3. Step 3: Cross multiply
    287.23x = 430.67 × 113.77
  4. Step 4: Simplify right side
    287.23x = 48,997.33
  5. Step 5: Solve for x
    x = 48,997.33/287.23
  6. Step 6: Final answer
    x = 170.59

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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.