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Finding the Fourth Proportional to 156.41, 213.93 and 153.89

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Solution

The fourth proportional to 156.41, 213.93 and 153.89 is: 210.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    156.41 : 213.93 = 153.89 : x
  2. Step 2: Convert to fraction form
    156.41/213.93 = 153.89/x
  3. Step 3: Cross multiply
    156.41x = 213.93 × 153.89
  4. Step 4: Simplify right side
    156.41x = 32,921.69
  5. Step 5: Solve for x
    x = 32,921.69/156.41
  6. Step 6: Final answer
    x = 210.48

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.