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Finding the Fourth Proportional to 229.58, 316.48 and 155.78

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Solution

The fourth proportional to 229.58, 316.48 and 155.78 is: 214.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    229.58 : 316.48 = 155.78 : x
  2. Step 2: Convert to fraction form
    229.58/316.48 = 155.78/x
  3. Step 3: Cross multiply
    229.58x = 316.48 × 155.78
  4. Step 4: Simplify right side
    229.58x = 49,301.25
  5. Step 5: Solve for x
    x = 49,301.25/229.58
  6. Step 6: Final answer
    x = 214.75

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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.