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Finding the Fourth Proportional to 158.96, 238.76 and 148.40

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Solution

The fourth proportional to 158.96, 238.76 and 148.40 is: 222.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    158.96 : 238.76 = 148.40 : x
  2. Step 2: Convert to fraction form
    158.96/238.76 = 148.40/x
  3. Step 3: Cross multiply
    158.96x = 238.76 × 148.40
  4. Step 4: Simplify right side
    158.96x = 35,431.98
  5. Step 5: Solve for x
    x = 35,431.98/158.96
  6. Step 6: Final answer
    x = 222.90

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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.