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Finding the Fourth Proportional to 148.33, 204.78 and 115.51

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Solution

The fourth proportional to 148.33, 204.78 and 115.51 is: 159.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    148.33 : 204.78 = 115.51 : x
  2. Step 2: Convert to fraction form
    148.33/204.78 = 115.51/x
  3. Step 3: Cross multiply
    148.33x = 204.78 × 115.51
  4. Step 4: Simplify right side
    148.33x = 23,654.14
  5. Step 5: Solve for x
    x = 23,654.14/148.33
  6. Step 6: Final answer
    x = 159.47

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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.