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Finding the Fourth Proportional to 156.84, 235.42 and 154.92

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Solution

The fourth proportional to 156.84, 235.42 and 154.92 is: 232.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    156.84 : 235.42 = 154.92 : x
  2. Step 2: Convert to fraction form
    156.84/235.42 = 154.92/x
  3. Step 3: Cross multiply
    156.84x = 235.42 × 154.92
  4. Step 4: Simplify right side
    156.84x = 36,471.27
  5. Step 5: Solve for x
    x = 36,471.27/156.84
  6. Step 6: Final answer
    x = 232.54

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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.