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Finding the Fourth Proportional to 158.24, 218.55 and 157.37

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Solution

The fourth proportional to 158.24, 218.55 and 157.37 is: 217.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    158.24 : 218.55 = 157.37 : x
  2. Step 2: Convert to fraction form
    158.24/218.55 = 157.37/x
  3. Step 3: Cross multiply
    158.24x = 218.55 × 157.37
  4. Step 4: Simplify right side
    158.24x = 34,392.12
  5. Step 5: Solve for x
    x = 34,392.12/158.24
  6. Step 6: Final answer
    x = 217.35

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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.