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Finding the Fourth Proportional to 229.31, 316.68 and 146.45

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Solution

The fourth proportional to 229.31, 316.68 and 146.45 is: 202.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    229.31 : 316.68 = 146.45 : x
  2. Step 2: Convert to fraction form
    229.31/316.68 = 146.45/x
  3. Step 3: Cross multiply
    229.31x = 316.68 × 146.45
  4. Step 4: Simplify right side
    229.31x = 46,378.03
  5. Step 5: Solve for x
    x = 46,378.03/229.31
  6. Step 6: Final answer
    x = 202.25

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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.