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Finding the Fourth Proportional to 185.80, 256.08 and 127.48

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Solution

The fourth proportional to 185.80, 256.08 and 127.48 is: 175.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    185.80 : 256.08 = 127.48 : x
  2. Step 2: Convert to fraction form
    185.80/256.08 = 127.48/x
  3. Step 3: Cross multiply
    185.80x = 256.08 × 127.48
  4. Step 4: Simplify right side
    185.80x = 32,645.08
  5. Step 5: Solve for x
    x = 32,645.08/185.80
  6. Step 6: Final answer
    x = 175.70

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.