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Finding the Fourth Proportional to 158.46, 238.04 and 143.34

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Solution

The fourth proportional to 158.46, 238.04 and 143.34 is: 215.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    158.46 : 238.04 = 143.34 : x
  2. Step 2: Convert to fraction form
    158.46/238.04 = 143.34/x
  3. Step 3: Cross multiply
    158.46x = 238.04 × 143.34
  4. Step 4: Simplify right side
    158.46x = 34,120.65
  5. Step 5: Solve for x
    x = 34,120.65/158.46
  6. Step 6: Final answer
    x = 215.33

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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.