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Finding the Fourth Proportional to 156.84, 216.47 and 141.92

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Solution

The fourth proportional to 156.84, 216.47 and 141.92 is: 195.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    156.84 : 216.47 = 141.92 : x
  2. Step 2: Convert to fraction form
    156.84/216.47 = 141.92/x
  3. Step 3: Cross multiply
    156.84x = 216.47 × 141.92
  4. Step 4: Simplify right side
    156.84x = 30,719.63
  5. Step 5: Solve for x
    x = 30,719.63/156.84
  6. Step 6: Final answer
    x = 195.87

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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.