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Finding the Fourth Proportional to 157.21, 217.01 and 129.67

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Solution

The fourth proportional to 157.21, 217.01 and 129.67 is: 179.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    157.21 : 217.01 = 129.67 : x
  2. Step 2: Convert to fraction form
    157.21/217.01 = 129.67/x
  3. Step 3: Cross multiply
    157.21x = 217.01 × 129.67
  4. Step 4: Simplify right side
    157.21x = 28,139.47
  5. Step 5: Solve for x
    x = 28,139.47/157.21
  6. Step 6: Final answer
    x = 179.00

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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.