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Finding the Fourth Proportional to 145.14, 216.83 and 133.61

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Solution

The fourth proportional to 145.14, 216.83 and 133.61 is: 199.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    145.14 : 216.83 = 133.61 : x
  2. Step 2: Convert to fraction form
    145.14/216.83 = 133.61/x
  3. Step 3: Cross multiply
    145.14x = 216.83 × 133.61
  4. Step 4: Simplify right side
    145.14x = 28,968.90
  5. Step 5: Solve for x
    x = 28,968.90/145.14
  6. Step 6: Final answer
    x = 199.59

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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.