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Finding the Fourth Proportional to 229.29, 316.06 and 155.49

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Solution

The fourth proportional to 229.29, 316.06 and 155.49 is: 214.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    229.29 : 316.06 = 155.49 : x
  2. Step 2: Convert to fraction form
    229.29/316.06 = 155.49/x
  3. Step 3: Cross multiply
    229.29x = 316.06 × 155.49
  4. Step 4: Simplify right side
    229.29x = 49,144.17
  5. Step 5: Solve for x
    x = 49,144.17/229.29
  6. Step 6: Final answer
    x = 214.33

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.