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Finding the Fourth Proportional to 219.70, 322.34 and 219.70

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Solution

The fourth proportional to 219.70, 322.34 and 219.70 is: 322.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    219.70 : 322.34 = 219.70 : x
  2. Step 2: Convert to fraction form
    219.70/322.34 = 219.70/x
  3. Step 3: Cross multiply
    219.70x = 322.34 × 219.70
  4. Step 4: Simplify right side
    219.70x = 70,817.00
  5. Step 5: Solve for x
    x = 70,817.00/219.70
  6. Step 6: Final answer
    x = 322.34

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.