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Finding the Fourth Proportional to 229.02, 316 and 141.63

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Solution

The fourth proportional to 229.02, 316 and 141.63 is: 195.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    229.02 : 316 = 141.63 : x
  2. Step 2: Convert to fraction form
    229.02/316 = 141.63/x
  3. Step 3: Cross multiply
    229.02x = 316 × 141.63
  4. Step 4: Simplify right side
    229.02x = 44,755.08
  5. Step 5: Solve for x
    x = 44,755.08/229.02
  6. Step 6: Final answer
    x = 195.42

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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.