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Finding the Fourth Proportional to 287.86, 431.80 and 125.54

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Solution

The fourth proportional to 287.86, 431.80 and 125.54 is: 188.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    287.86 : 431.80 = 125.54 : x
  2. Step 2: Convert to fraction form
    287.86/431.80 = 125.54/x
  3. Step 3: Cross multiply
    287.86x = 431.80 × 125.54
  4. Step 4: Simplify right side
    287.86x = 54,208.17
  5. Step 5: Solve for x
    x = 54,208.17/287.86
  6. Step 6: Final answer
    x = 188.31

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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.