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Finding the Fourth Proportional to 156.13, 215.26 and 132.84

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Solution

The fourth proportional to 156.13, 215.26 and 132.84 is: 183.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    156.13 : 215.26 = 132.84 : x
  2. Step 2: Convert to fraction form
    156.13/215.26 = 132.84/x
  3. Step 3: Cross multiply
    156.13x = 215.26 × 132.84
  4. Step 4: Simplify right side
    156.13x = 28,594.81
  5. Step 5: Solve for x
    x = 28,594.81/156.13
  6. Step 6: Final answer
    x = 183.15

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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.