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Finding the Fourth Proportional to 219.08, 330.53 and 195.32

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Solution

The fourth proportional to 219.08, 330.53 and 195.32 is: 294.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    219.08 : 330.53 = 195.32 : x
  2. Step 2: Convert to fraction form
    219.08/330.53 = 195.32/x
  3. Step 3: Cross multiply
    219.08x = 330.53 × 195.32
  4. Step 4: Simplify right side
    219.08x = 64,559.12
  5. Step 5: Solve for x
    x = 64,559.12/219.08
  6. Step 6: Final answer
    x = 294.68

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.