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Finding the Fourth Proportional to 229.42, 316.61 and 142.07

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Solution

The fourth proportional to 229.42, 316.61 and 142.07 is: 196.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    229.42 : 316.61 = 142.07 : x
  2. Step 2: Convert to fraction form
    229.42/316.61 = 142.07/x
  3. Step 3: Cross multiply
    229.42x = 316.61 × 142.07
  4. Step 4: Simplify right side
    229.42x = 44,980.07
  5. Step 5: Solve for x
    x = 44,980.07/229.42
  6. Step 6: Final answer
    x = 196.06

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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.