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Finding the Fourth Proportional to 287.23, 431.07 and 104.74

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Solution

The fourth proportional to 287.23, 431.07 and 104.74 is: 157.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    287.23 : 431.07 = 104.74 : x
  2. Step 2: Convert to fraction form
    287.23/431.07 = 104.74/x
  3. Step 3: Cross multiply
    287.23x = 431.07 × 104.74
  4. Step 4: Simplify right side
    287.23x = 45,150.27
  5. Step 5: Solve for x
    x = 45,150.27/287.23
  6. Step 6: Final answer
    x = 157.19

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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.