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Finding the Fourth Proportional to 148.97, 205.15 and 145.79

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Solution

The fourth proportional to 148.97, 205.15 and 145.79 is: 200.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    148.97 : 205.15 = 145.79 : x
  2. Step 2: Convert to fraction form
    148.97/205.15 = 145.79/x
  3. Step 3: Cross multiply
    148.97x = 205.15 × 145.79
  4. Step 4: Simplify right side
    148.97x = 29,907.79
  5. Step 5: Solve for x
    x = 29,907.79/148.97
  6. Step 6: Final answer
    x = 200.77

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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.