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Finding the Fourth Proportional to 157.21, 216.43 and 149.51

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Solution

The fourth proportional to 157.21, 216.43 and 149.51 is: 205.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    157.21 : 216.43 = 149.51 : x
  2. Step 2: Convert to fraction form
    157.21/216.43 = 149.51/x
  3. Step 3: Cross multiply
    157.21x = 216.43 × 149.51
  4. Step 4: Simplify right side
    157.21x = 32,358.45
  5. Step 5: Solve for x
    x = 32,358.45/157.21
  6. Step 6: Final answer
    x = 205.83

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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.