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Finding the Fourth Proportional to 156.73, 233.93 and 140.49

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Solution

The fourth proportional to 156.73, 233.93 and 140.49 is: 209.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    156.73 : 233.93 = 140.49 : x
  2. Step 2: Convert to fraction form
    156.73/233.93 = 140.49/x
  3. Step 3: Cross multiply
    156.73x = 233.93 × 140.49
  4. Step 4: Simplify right side
    156.73x = 32,865.18
  5. Step 5: Solve for x
    x = 32,865.18/156.73
  6. Step 6: Final answer
    x = 209.69

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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.