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Finding the Fourth Proportional to 187.46, 257.06 and 180.95

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Solution

The fourth proportional to 187.46, 257.06 and 180.95 is: 248.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    187.46 : 257.06 = 180.95 : x
  2. Step 2: Convert to fraction form
    187.46/257.06 = 180.95/x
  3. Step 3: Cross multiply
    187.46x = 257.06 × 180.95
  4. Step 4: Simplify right side
    187.46x = 46,512.82
  5. Step 5: Solve for x
    x = 46,512.82/187.46
  6. Step 6: Final answer
    x = 248.13

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.