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Finding the Fourth Proportional to 158.80, 238.50 and 144.52

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Solution

The fourth proportional to 158.80, 238.50 and 144.52 is: 217.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    158.80 : 238.50 = 144.52 : x
  2. Step 2: Convert to fraction form
    158.80/238.50 = 144.52/x
  3. Step 3: Cross multiply
    158.80x = 238.50 × 144.52
  4. Step 4: Simplify right side
    158.80x = 34,468.02
  5. Step 5: Solve for x
    x = 34,468.02/158.80
  6. Step 6: Final answer
    x = 217.05

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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.