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Finding the Fourth Proportional to 144.22, 215.08 and 134.50

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Solution

The fourth proportional to 144.22, 215.08 and 134.50 is: 200.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    144.22 : 215.08 = 134.50 : x
  2. Step 2: Convert to fraction form
    144.22/215.08 = 134.50/x
  3. Step 3: Cross multiply
    144.22x = 215.08 × 134.50
  4. Step 4: Simplify right side
    144.22x = 28,928.26
  5. Step 5: Solve for x
    x = 28,928.26/144.22
  6. Step 6: Final answer
    x = 200.58

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.