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Finding the Fourth Proportional to 157.18, 217 and 128.43

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Solution

The fourth proportional to 157.18, 217 and 128.43 is: 177.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    157.18 : 217 = 128.43 : x
  2. Step 2: Convert to fraction form
    157.18/217 = 128.43/x
  3. Step 3: Cross multiply
    157.18x = 217 × 128.43
  4. Step 4: Simplify right side
    157.18x = 27,869.31
  5. Step 5: Solve for x
    x = 27,869.31/157.18
  6. Step 6: Final answer
    x = 177.31

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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.