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Finding the Fourth Proportional to 158.78, 238.38 and 90.34

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Solution

The fourth proportional to 158.78, 238.38 and 90.34 is: 135.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    158.78 : 238.38 = 90.34 : x
  2. Step 2: Convert to fraction form
    158.78/238.38 = 90.34/x
  3. Step 3: Cross multiply
    158.78x = 238.38 × 90.34
  4. Step 4: Simplify right side
    158.78x = 21,535.25
  5. Step 5: Solve for x
    x = 21,535.25/158.78
  6. Step 6: Final answer
    x = 135.63

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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.