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Finding the Fourth Proportional to 157.99, 236.67 and 89.30

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Solution

The fourth proportional to 157.99, 236.67 and 89.30 is: 133.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    157.99 : 236.67 = 89.30 : x
  2. Step 2: Convert to fraction form
    157.99/236.67 = 89.30/x
  3. Step 3: Cross multiply
    157.99x = 236.67 × 89.30
  4. Step 4: Simplify right side
    157.99x = 21,134.63
  5. Step 5: Solve for x
    x = 21,134.63/157.99
  6. Step 6: Final answer
    x = 133.78

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.