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Finding the Fourth Proportional to 158.47, 218.70 and 114.23

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Solution

The fourth proportional to 158.47, 218.70 and 114.23 is: 157.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    158.47 : 218.70 = 114.23 : x
  2. Step 2: Convert to fraction form
    158.47/218.70 = 114.23/x
  3. Step 3: Cross multiply
    158.47x = 218.70 × 114.23
  4. Step 4: Simplify right side
    158.47x = 24,982.65
  5. Step 5: Solve for x
    x = 24,982.65/158.47
  6. Step 6: Final answer
    x = 157.65

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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.