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Finding the Fourth Proportional to 214.96, 322.80 and 167.20

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Solution

The fourth proportional to 214.96, 322.80 and 167.20 is: 251.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    214.96 : 322.80 = 167.20 : x
  2. Step 2: Convert to fraction form
    214.96/322.80 = 167.20/x
  3. Step 3: Cross multiply
    214.96x = 322.80 × 167.20
  4. Step 4: Simplify right side
    214.96x = 53,972.16
  5. Step 5: Solve for x
    x = 53,972.16/214.96
  6. Step 6: Final answer
    x = 251.08

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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.