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Finding the Fourth Proportional to 287.86, 431.63 and 123.21

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Solution

The fourth proportional to 287.86, 431.63 and 123.21 is: 184.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    287.86 : 431.63 = 123.21 : x
  2. Step 2: Convert to fraction form
    287.86/431.63 = 123.21/x
  3. Step 3: Cross multiply
    287.86x = 431.63 × 123.21
  4. Step 4: Simplify right side
    287.86x = 53,181.60
  5. Step 5: Solve for x
    x = 53,181.60/287.86
  6. Step 6: Final answer
    x = 184.75

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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.