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Finding the Fourth Proportional to 156.44, 233.10 and 149.68

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Solution

The fourth proportional to 156.44, 233.10 and 149.68 is: 223.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    156.44 : 233.10 = 149.68 : x
  2. Step 2: Convert to fraction form
    156.44/233.10 = 149.68/x
  3. Step 3: Cross multiply
    156.44x = 233.10 × 149.68
  4. Step 4: Simplify right side
    156.44x = 34,890.41
  5. Step 5: Solve for x
    x = 34,890.41/156.44
  6. Step 6: Final answer
    x = 223.03

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Why These Related Problems?

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