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Finding the Fourth Proportional to 156.92, 216.36 and 130.64

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Solution

The fourth proportional to 156.92, 216.36 and 130.64 is: 180.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    156.92 : 216.36 = 130.64 : x
  2. Step 2: Convert to fraction form
    156.92/216.36 = 130.64/x
  3. Step 3: Cross multiply
    156.92x = 216.36 × 130.64
  4. Step 4: Simplify right side
    156.92x = 28,265.27
  5. Step 5: Solve for x
    x = 28,265.27/156.92
  6. Step 6: Final answer
    x = 180.13

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.