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Finding the Fourth Proportional to 158.94, 239.76 and 155.34

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Solution

The fourth proportional to 158.94, 239.76 and 155.34 is: 234.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    158.94 : 239.76 = 155.34 : x
  2. Step 2: Convert to fraction form
    158.94/239.76 = 155.34/x
  3. Step 3: Cross multiply
    158.94x = 239.76 × 155.34
  4. Step 4: Simplify right side
    158.94x = 37,244.32
  5. Step 5: Solve for x
    x = 37,244.32/158.94
  6. Step 6: Final answer
    x = 234.33

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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.