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Finding the Fourth Proportional to 229.06, 316.21 and 146.28

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Solution

The fourth proportional to 229.06, 316.21 and 146.28 is: 201.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    229.06 : 316.21 = 146.28 : x
  2. Step 2: Convert to fraction form
    229.06/316.21 = 146.28/x
  3. Step 3: Cross multiply
    229.06x = 316.21 × 146.28
  4. Step 4: Simplify right side
    229.06x = 46,254.47
  5. Step 5: Solve for x
    x = 46,254.47/229.06
  6. Step 6: Final answer
    x = 201.93

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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.