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Finding the Fourth Proportional to 208.81, 288.13 and 125.93

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Solution

The fourth proportional to 208.81, 288.13 and 125.93 is: 173.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    208.81 : 288.13 = 125.93 : x
  2. Step 2: Convert to fraction form
    208.81/288.13 = 125.93/x
  3. Step 3: Cross multiply
    208.81x = 288.13 × 125.93
  4. Step 4: Simplify right side
    208.81x = 36,284.21
  5. Step 5: Solve for x
    x = 36,284.21/208.81
  6. Step 6: Final answer
    x = 173.77

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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.