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Finding the Fourth Proportional to 156.20, 233.18 and 145.97

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Solution

The fourth proportional to 156.20, 233.18 and 145.97 is: 217.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    156.20 : 233.18 = 145.97 : x
  2. Step 2: Convert to fraction form
    156.20/233.18 = 145.97/x
  3. Step 3: Cross multiply
    156.20x = 233.18 × 145.97
  4. Step 4: Simplify right side
    156.20x = 34,035.39
  5. Step 5: Solve for x
    x = 34,035.39/156.20
  6. Step 6: Final answer
    x = 217.90

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.