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Finding the Fourth Proportional to 158.44, 238.66 and 141.52

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Solution

The fourth proportional to 158.44, 238.66 and 141.52 is: 213.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    158.44 : 238.66 = 141.52 : x
  2. Step 2: Convert to fraction form
    158.44/238.66 = 141.52/x
  3. Step 3: Cross multiply
    158.44x = 238.66 × 141.52
  4. Step 4: Simplify right side
    158.44x = 33,775.16
  5. Step 5: Solve for x
    x = 33,775.16/158.44
  6. Step 6: Final answer
    x = 213.17

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.