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Finding the Fourth Proportional to 229.96, 345.58 and 121.88

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Solution

The fourth proportional to 229.96, 345.58 and 121.88 is: 183.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    229.96 : 345.58 = 121.88 : x
  2. Step 2: Convert to fraction form
    229.96/345.58 = 121.88/x
  3. Step 3: Cross multiply
    229.96x = 345.58 × 121.88
  4. Step 4: Simplify right side
    229.96x = 42,119.29
  5. Step 5: Solve for x
    x = 42,119.29/229.96
  6. Step 6: Final answer
    x = 183.16

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.