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Finding the Fourth Proportional to 157.88, 218.04 and 125.30

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Solution

The fourth proportional to 157.88, 218.04 and 125.30 is: 173.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    157.88 : 218.04 = 125.30 : x
  2. Step 2: Convert to fraction form
    157.88/218.04 = 125.30/x
  3. Step 3: Cross multiply
    157.88x = 218.04 × 125.30
  4. Step 4: Simplify right side
    157.88x = 27,320.41
  5. Step 5: Solve for x
    x = 27,320.41/157.88
  6. Step 6: Final answer
    x = 173.05

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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.