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Finding the Fourth Proportional to 219.42, 329.14 and 57.10

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Solution

The fourth proportional to 219.42, 329.14 and 57.10 is: 85.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    219.42 : 329.14 = 57.10 : x
  2. Step 2: Convert to fraction form
    219.42/329.14 = 57.10/x
  3. Step 3: Cross multiply
    219.42x = 329.14 × 57.10
  4. Step 4: Simplify right side
    219.42x = 18,792.25
  5. Step 5: Solve for x
    x = 18,792.25/219.42
  6. Step 6: Final answer
    x = 85.65

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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.