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Finding the Fourth Proportional to 146.84, 219.15 and 127.46

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Solution

The fourth proportional to 146.84, 219.15 and 127.46 is: 190.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    146.84 : 219.15 = 127.46 : x
  2. Step 2: Convert to fraction form
    146.84/219.15 = 127.46/x
  3. Step 3: Cross multiply
    146.84x = 219.15 × 127.46
  4. Step 4: Simplify right side
    146.84x = 27,933.41
  5. Step 5: Solve for x
    x = 27,933.41/146.84
  6. Step 6: Final answer
    x = 190.24

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.