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Finding the Fourth Proportional to 219.90, 303.40 and 157.71

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Solution

The fourth proportional to 219.90, 303.40 and 157.71 is: 217.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    219.90 : 303.40 = 157.71 : x
  2. Step 2: Convert to fraction form
    219.90/303.40 = 157.71/x
  3. Step 3: Cross multiply
    219.90x = 303.40 × 157.71
  4. Step 4: Simplify right side
    219.90x = 47,849.21
  5. Step 5: Solve for x
    x = 47,849.21/219.90
  6. Step 6: Final answer
    x = 217.60

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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.