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Finding the Fourth Proportional to 229.35, 316.40 and 142.01

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Solution

The fourth proportional to 229.35, 316.40 and 142.01 is: 195.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    229.35 : 316.40 = 142.01 : x
  2. Step 2: Convert to fraction form
    229.35/316.40 = 142.01/x
  3. Step 3: Cross multiply
    229.35x = 316.40 × 142.01
  4. Step 4: Simplify right side
    229.35x = 44,929.67
  5. Step 5: Solve for x
    x = 44,929.67/229.35
  6. Step 6: Final answer
    x = 195.90

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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.