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Finding the Fourth Proportional to 208.48, 287.64 and 125.51

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Solution

The fourth proportional to 208.48, 287.64 and 125.51 is: 173.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    208.48 : 287.64 = 125.51 : x
  2. Step 2: Convert to fraction form
    208.48/287.64 = 125.51/x
  3. Step 3: Cross multiply
    208.48x = 287.64 × 125.51
  4. Step 4: Simplify right side
    208.48x = 36,101.70
  5. Step 5: Solve for x
    x = 36,101.70/208.48
  6. Step 6: Final answer
    x = 173.17

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.