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Finding the Fourth Proportional to 219.67, 303.05 and 146.00

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Solution

The fourth proportional to 219.67, 303.05 and 146.00 is: 201.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    219.67 : 303.05 = 146.00 : x
  2. Step 2: Convert to fraction form
    219.67/303.05 = 146.00/x
  3. Step 3: Cross multiply
    219.67x = 303.05 × 146.00
  4. Step 4: Simplify right side
    219.67x = 44,246.42
  5. Step 5: Solve for x
    x = 44,246.42/219.67
  6. Step 6: Final answer
    x = 201.42

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.