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Finding the Fourth Proportional to 157.90, 218.40 and 140.68

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Solution

The fourth proportional to 157.90, 218.40 and 140.68 is: 194.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    157.90 : 218.40 = 140.68 : x
  2. Step 2: Convert to fraction form
    157.90/218.40 = 140.68/x
  3. Step 3: Cross multiply
    157.90x = 218.40 × 140.68
  4. Step 4: Simplify right side
    157.90x = 30,724.51
  5. Step 5: Solve for x
    x = 30,724.51/157.90
  6. Step 6: Final answer
    x = 194.58

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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.