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Finding the Fourth Proportional to 187.80, 280.14 and 180.12

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Solution

The fourth proportional to 187.80, 280.14 and 180.12 is: 268.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    187.80 : 280.14 = 180.12 : x
  2. Step 2: Convert to fraction form
    187.80/280.14 = 180.12/x
  3. Step 3: Cross multiply
    187.80x = 280.14 × 180.12
  4. Step 4: Simplify right side
    187.80x = 50,458.82
  5. Step 5: Solve for x
    x = 50,458.82/187.80
  6. Step 6: Final answer
    x = 268.68

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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.