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Finding the Fourth Proportional to 213.84, 320.16 and 162.69

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Solution

The fourth proportional to 213.84, 320.16 and 162.69 is: 243.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    213.84 : 320.16 = 162.69 : x
  2. Step 2: Convert to fraction form
    213.84/320.16 = 162.69/x
  3. Step 3: Cross multiply
    213.84x = 320.16 × 162.69
  4. Step 4: Simplify right side
    213.84x = 52,086.22
  5. Step 5: Solve for x
    x = 52,086.22/213.84
  6. Step 6: Final answer
    x = 243.58

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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.