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Finding the Fourth Proportional to 229.34, 316.24 and 155.66

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Solution

The fourth proportional to 229.34, 316.24 and 155.66 is: 214.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    229.34 : 316.24 = 155.66 : x
  2. Step 2: Convert to fraction form
    229.34/316.24 = 155.66/x
  3. Step 3: Cross multiply
    229.34x = 316.24 × 155.66
  4. Step 4: Simplify right side
    229.34x = 49,225.14
  5. Step 5: Solve for x
    x = 49,225.14/229.34
  6. Step 6: Final answer
    x = 214.64

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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.