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Finding the Fourth Proportional to 187.35, 278.78 and 180.87

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Solution

The fourth proportional to 187.35, 278.78 and 180.87 is: 269.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    187.35 : 278.78 = 180.87 : x
  2. Step 2: Convert to fraction form
    187.35/278.78 = 180.87/x
  3. Step 3: Cross multiply
    187.35x = 278.78 × 180.87
  4. Step 4: Simplify right side
    187.35x = 50,422.94
  5. Step 5: Solve for x
    x = 50,422.94/187.35
  6. Step 6: Final answer
    x = 269.14

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.