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Finding the Fourth Proportional to 312.33, 468.56 and 158.34

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Solution

The fourth proportional to 312.33, 468.56 and 158.34 is: 237.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    312.33 : 468.56 = 158.34 : x
  2. Step 2: Convert to fraction form
    312.33/468.56 = 158.34/x
  3. Step 3: Cross multiply
    312.33x = 468.56 × 158.34
  4. Step 4: Simplify right side
    312.33x = 74,191.79
  5. Step 5: Solve for x
    x = 74,191.79/312.33
  6. Step 6: Final answer
    x = 237.54

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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.