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Finding the Fourth Proportional to 229.07, 316.11 and 146.21

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Solution

The fourth proportional to 229.07, 316.11 and 146.21 is: 201.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    229.07 : 316.11 = 146.21 : x
  2. Step 2: Convert to fraction form
    229.07/316.11 = 146.21/x
  3. Step 3: Cross multiply
    229.07x = 316.11 × 146.21
  4. Step 4: Simplify right side
    229.07x = 46,218.44
  5. Step 5: Solve for x
    x = 46,218.44/229.07
  6. Step 6: Final answer
    x = 201.77

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.