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Finding the Fourth Proportional to 156.93, 234.16 and 141.57

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Solution

The fourth proportional to 156.93, 234.16 and 141.57 is: 211.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    156.93 : 234.16 = 141.57 : x
  2. Step 2: Convert to fraction form
    156.93/234.16 = 141.57/x
  3. Step 3: Cross multiply
    156.93x = 234.16 × 141.57
  4. Step 4: Simplify right side
    156.93x = 33,150.03
  5. Step 5: Solve for x
    x = 33,150.03/156.93
  6. Step 6: Final answer
    x = 211.24

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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.