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Finding the Fourth Proportional to 156.60, 215.73 and 149.85

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Solution

The fourth proportional to 156.60, 215.73 and 149.85 is: 206.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    156.60 : 215.73 = 149.85 : x
  2. Step 2: Convert to fraction form
    156.60/215.73 = 149.85/x
  3. Step 3: Cross multiply
    156.60x = 215.73 × 149.85
  4. Step 4: Simplify right side
    156.60x = 32,327.14
  5. Step 5: Solve for x
    x = 32,327.14/156.60
  6. Step 6: Final answer
    x = 206.43

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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.