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Finding the Fourth Proportional to 229.25, 316.46 and 146.45

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Solution

The fourth proportional to 229.25, 316.46 and 146.45 is: 202.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    229.25 : 316.46 = 146.45 : x
  2. Step 2: Convert to fraction form
    229.25/316.46 = 146.45/x
  3. Step 3: Cross multiply
    229.25x = 316.46 × 146.45
  4. Step 4: Simplify right side
    229.25x = 46,344.35
  5. Step 5: Solve for x
    x = 46,344.35/229.25
  6. Step 6: Final answer
    x = 202.16

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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.