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Finding the Fourth Proportional to 157.64, 237.26 and 140

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Solution

The fourth proportional to 157.64, 237.26 and 140 is: 210.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    157.64 : 237.26 = 140 : x
  2. Step 2: Convert to fraction form
    157.64/237.26 = 140/x
  3. Step 3: Cross multiply
    157.64x = 237.26 × 140
  4. Step 4: Simplify right side
    157.64x = 33,216.40
  5. Step 5: Solve for x
    x = 33,216.40/157.64
  6. Step 6: Final answer
    x = 210.71

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.