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Finding the Fourth Proportional to 214.16, 320.63 and 167.84

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Solution

The fourth proportional to 214.16, 320.63 and 167.84 is: 251.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    214.16 : 320.63 = 167.84 : x
  2. Step 2: Convert to fraction form
    214.16/320.63 = 167.84/x
  3. Step 3: Cross multiply
    214.16x = 320.63 × 167.84
  4. Step 4: Simplify right side
    214.16x = 53,813.30
  5. Step 5: Solve for x
    x = 53,813.30/214.16
  6. Step 6: Final answer
    x = 251.28

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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.