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Finding the Fourth Proportional to 588.96, 883.34 and 156.15

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Solution

The fourth proportional to 588.96, 883.34 and 156.15 is: 234.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    588.96 : 883.34 = 156.15 : x
  2. Step 2: Convert to fraction form
    588.96/883.34 = 156.15/x
  3. Step 3: Cross multiply
    588.96x = 883.34 × 156.15
  4. Step 4: Simplify right side
    588.96x = 137,933.54
  5. Step 5: Solve for x
    x = 137,933.54/588.96
  6. Step 6: Final answer
    x = 234.20

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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.