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Finding the Fourth Proportional to 156.12, 233.96 and 145.84

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Solution

The fourth proportional to 156.12, 233.96 and 145.84 is: 218.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    156.12 : 233.96 = 145.84 : x
  2. Step 2: Convert to fraction form
    156.12/233.96 = 145.84/x
  3. Step 3: Cross multiply
    156.12x = 233.96 × 145.84
  4. Step 4: Simplify right side
    156.12x = 34,120.73
  5. Step 5: Solve for x
    x = 34,120.73/156.12
  6. Step 6: Final answer
    x = 218.55

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.