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Finding the Fourth Proportional to 287.69, 431.64 and 125.49

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Solution

The fourth proportional to 287.69, 431.64 and 125.49 is: 188.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    287.69 : 431.64 = 125.49 : x
  2. Step 2: Convert to fraction form
    287.69/431.64 = 125.49/x
  3. Step 3: Cross multiply
    287.69x = 431.64 × 125.49
  4. Step 4: Simplify right side
    287.69x = 54,166.50
  5. Step 5: Solve for x
    x = 54,166.50/287.69
  6. Step 6: Final answer
    x = 188.28

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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.