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Finding the Fourth Proportional to 148.51, 204.81 and 127.78

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Solution

The fourth proportional to 148.51, 204.81 and 127.78 is: 176.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    148.51 : 204.81 = 127.78 : x
  2. Step 2: Convert to fraction form
    148.51/204.81 = 127.78/x
  3. Step 3: Cross multiply
    148.51x = 204.81 × 127.78
  4. Step 4: Simplify right side
    148.51x = 26,170.62
  5. Step 5: Solve for x
    x = 26,170.62/148.51
  6. Step 6: Final answer
    x = 176.22

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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.