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Finding the Fourth Proportional to 144.59, 215.46 and 134.06

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Solution

The fourth proportional to 144.59, 215.46 and 134.06 is: 199.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    144.59 : 215.46 = 134.06 : x
  2. Step 2: Convert to fraction form
    144.59/215.46 = 134.06/x
  3. Step 3: Cross multiply
    144.59x = 215.46 × 134.06
  4. Step 4: Simplify right side
    144.59x = 28,883.49
  5. Step 5: Solve for x
    x = 28,883.49/144.59
  6. Step 6: Final answer
    x = 199.77

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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.