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Finding the Fourth Proportional to 154.97, 212.22 and 152.94

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Solution

The fourth proportional to 154.97, 212.22 and 152.94 is: 209.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    154.97 : 212.22 = 152.94 : x
  2. Step 2: Convert to fraction form
    154.97/212.22 = 152.94/x
  3. Step 3: Cross multiply
    154.97x = 212.22 × 152.94
  4. Step 4: Simplify right side
    154.97x = 32,456.93
  5. Step 5: Solve for x
    x = 32,456.93/154.97
  6. Step 6: Final answer
    x = 209.45

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.