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Finding the Fourth Proportional to 287.23, 430.56 and 113.62

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Solution

The fourth proportional to 287.23, 430.56 and 113.62 is: 170.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    287.23 : 430.56 = 113.62 : x
  2. Step 2: Convert to fraction form
    287.23/430.56 = 113.62/x
  3. Step 3: Cross multiply
    287.23x = 430.56 × 113.62
  4. Step 4: Simplify right side
    287.23x = 48,920.23
  5. Step 5: Solve for x
    x = 48,920.23/287.23
  6. Step 6: Final answer
    x = 170.32

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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.