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Finding the Fourth Proportional to 229.17, 341.84 and 214.81

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Solution

The fourth proportional to 229.17, 341.84 and 214.81 is: 320.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    229.17 : 341.84 = 214.81 : x
  2. Step 2: Convert to fraction form
    229.17/341.84 = 214.81/x
  3. Step 3: Cross multiply
    229.17x = 341.84 × 214.81
  4. Step 4: Simplify right side
    229.17x = 73,431.05
  5. Step 5: Solve for x
    x = 73,431.05/229.17
  6. Step 6: Final answer
    x = 320.42

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