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Finding the Fourth Proportional to 156.50, 233.64 and 133.82

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Solution

The fourth proportional to 156.50, 233.64 and 133.82 is: 199.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    156.50 : 233.64 = 133.82 : x
  2. Step 2: Convert to fraction form
    156.50/233.64 = 133.82/x
  3. Step 3: Cross multiply
    156.50x = 233.64 × 133.82
  4. Step 4: Simplify right side
    156.50x = 31,265.70
  5. Step 5: Solve for x
    x = 31,265.70/156.50
  6. Step 6: Final answer
    x = 199.78

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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.