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Finding the Fourth Proportional to 219.53, 303.05 and 145.82

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Solution

The fourth proportional to 219.53, 303.05 and 145.82 is: 201.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    219.53 : 303.05 = 145.82 : x
  2. Step 2: Convert to fraction form
    219.53/303.05 = 145.82/x
  3. Step 3: Cross multiply
    219.53x = 303.05 × 145.82
  4. Step 4: Simplify right side
    219.53x = 44,191.87
  5. Step 5: Solve for x
    x = 44,191.87/219.53
  6. Step 6: Final answer
    x = 201.30

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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.