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Finding the Fourth Proportional to 200.84, 300.54 and 146.06

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Solution

The fourth proportional to 200.84, 300.54 and 146.06 is: 218.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    200.84 : 300.54 = 146.06 : x
  2. Step 2: Convert to fraction form
    200.84/300.54 = 146.06/x
  3. Step 3: Cross multiply
    200.84x = 300.54 × 146.06
  4. Step 4: Simplify right side
    200.84x = 43,895.37
  5. Step 5: Solve for x
    x = 43,895.37/200.84
  6. Step 6: Final answer
    x = 218.56

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.