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Finding the Fourth Proportional to 156.26, 232.54 and 156.06

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Solution

The fourth proportional to 156.26, 232.54 and 156.06 is: 232.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    156.26 : 232.54 = 156.06 : x
  2. Step 2: Convert to fraction form
    156.26/232.54 = 156.06/x
  3. Step 3: Cross multiply
    156.26x = 232.54 × 156.06
  4. Step 4: Simplify right side
    156.26x = 36,289.80
  5. Step 5: Solve for x
    x = 36,289.80/156.26
  6. Step 6: Final answer
    x = 232.24

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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.