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Finding the Fourth Proportional to 157.84, 217.96 and 123.28

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Solution

The fourth proportional to 157.84, 217.96 and 123.28 is: 170.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    157.84 : 217.96 = 123.28 : x
  2. Step 2: Convert to fraction form
    157.84/217.96 = 123.28/x
  3. Step 3: Cross multiply
    157.84x = 217.96 × 123.28
  4. Step 4: Simplify right side
    157.84x = 26,870.11
  5. Step 5: Solve for x
    x = 26,870.11/157.84
  6. Step 6: Final answer
    x = 170.24

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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.