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Finding the Fourth Proportional to 157.38, 215.82 and 149.82

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Solution

The fourth proportional to 157.38, 215.82 and 149.82 is: 205.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    157.38 : 215.82 = 149.82 : x
  2. Step 2: Convert to fraction form
    157.38/215.82 = 149.82/x
  3. Step 3: Cross multiply
    157.38x = 215.82 × 149.82
  4. Step 4: Simplify right side
    157.38x = 32,334.15
  5. Step 5: Solve for x
    x = 32,334.15/157.38
  6. Step 6: Final answer
    x = 205.45

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Why These Related Problems?

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