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Finding the Fourth Proportional to 158.68, 238.02 and 110.98

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Solution

The fourth proportional to 158.68, 238.02 and 110.98 is: 166.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    158.68 : 238.02 = 110.98 : x
  2. Step 2: Convert to fraction form
    158.68/238.02 = 110.98/x
  3. Step 3: Cross multiply
    158.68x = 238.02 × 110.98
  4. Step 4: Simplify right side
    158.68x = 26,415.46
  5. Step 5: Solve for x
    x = 26,415.46/158.68
  6. Step 6: Final answer
    x = 166.47

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.