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Finding the Fourth Proportional to 187.69, 260.19 and 177.81

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Solution

The fourth proportional to 187.69, 260.19 and 177.81 is: 246.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    187.69 : 260.19 = 177.81 : x
  2. Step 2: Convert to fraction form
    187.69/260.19 = 177.81/x
  3. Step 3: Cross multiply
    187.69x = 260.19 × 177.81
  4. Step 4: Simplify right side
    187.69x = 46,264.38
  5. Step 5: Solve for x
    x = 46,264.38/187.69
  6. Step 6: Final answer
    x = 246.49

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.