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Finding the Fourth Proportional to 156.84, 234.42 and 132.54

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Solution

The fourth proportional to 156.84, 234.42 and 132.54 is: 198.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    156.84 : 234.42 = 132.54 : x
  2. Step 2: Convert to fraction form
    156.84/234.42 = 132.54/x
  3. Step 3: Cross multiply
    156.84x = 234.42 × 132.54
  4. Step 4: Simplify right side
    156.84x = 31,070.03
  5. Step 5: Solve for x
    x = 31,070.03/156.84
  6. Step 6: Final answer
    x = 198.10

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.