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Finding the Fourth Proportional to 214.67, 320.33 and 201.62

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Solution

The fourth proportional to 214.67, 320.33 and 201.62 is: 300.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    214.67 : 320.33 = 201.62 : x
  2. Step 2: Convert to fraction form
    214.67/320.33 = 201.62/x
  3. Step 3: Cross multiply
    214.67x = 320.33 × 201.62
  4. Step 4: Simplify right side
    214.67x = 64,582.32
  5. Step 5: Solve for x
    x = 64,582.32/214.67
  6. Step 6: Final answer
    x = 300.84

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.