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Finding the Fourth Proportional to 214.22, 320.72 and 178.38

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Solution

The fourth proportional to 214.22, 320.72 and 178.38 is: 267.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    214.22 : 320.72 = 178.38 : x
  2. Step 2: Convert to fraction form
    214.22/320.72 = 178.38/x
  3. Step 3: Cross multiply
    214.22x = 320.72 × 178.38
  4. Step 4: Simplify right side
    214.22x = 57,210.03
  5. Step 5: Solve for x
    x = 57,210.03/214.22
  6. Step 6: Final answer
    x = 267.06

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.