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Finding the Fourth Proportional to 229.24, 341.93 and 214.12

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Solution

The fourth proportional to 229.24, 341.93 and 214.12 is: 319.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    229.24 : 341.93 = 214.12 : x
  2. Step 2: Convert to fraction form
    229.24/341.93 = 214.12/x
  3. Step 3: Cross multiply
    229.24x = 341.93 × 214.12
  4. Step 4: Simplify right side
    229.24x = 73,214.05
  5. Step 5: Solve for x
    x = 73,214.05/229.24
  6. Step 6: Final answer
    x = 319.38

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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.