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Finding the Fourth Proportional to 287.49, 431.30 and 92.51

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Solution

The fourth proportional to 287.49, 431.30 and 92.51 is: 138.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    287.49 : 431.30 = 92.51 : x
  2. Step 2: Convert to fraction form
    287.49/431.30 = 92.51/x
  3. Step 3: Cross multiply
    287.49x = 431.30 × 92.51
  4. Step 4: Simplify right side
    287.49x = 39,899.56
  5. Step 5: Solve for x
    x = 39,899.56/287.49
  6. Step 6: Final answer
    x = 138.79

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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.