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Finding the Fourth Proportional to 185.13, 277.16 and 127.20

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Solution

The fourth proportional to 185.13, 277.16 and 127.20 is: 190.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    185.13 : 277.16 = 127.20 : x
  2. Step 2: Convert to fraction form
    185.13/277.16 = 127.20/x
  3. Step 3: Cross multiply
    185.13x = 277.16 × 127.20
  4. Step 4: Simplify right side
    185.13x = 35,254.12
  5. Step 5: Solve for x
    x = 35,254.12/185.13
  6. Step 6: Final answer
    x = 190.43

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.