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Finding the Fourth Proportional to 144.59, 217.15 and 133.00

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Solution

The fourth proportional to 144.59, 217.15 and 133.00 is: 199.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    144.59 : 217.15 = 133.00 : x
  2. Step 2: Convert to fraction form
    144.59/217.15 = 133.00/x
  3. Step 3: Cross multiply
    144.59x = 217.15 × 133.00
  4. Step 4: Simplify right side
    144.59x = 28,881.16
  5. Step 5: Solve for x
    x = 28,881.16/144.59
  6. Step 6: Final answer
    x = 199.74

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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.