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Finding the Fourth Proportional to 143.66, 214.39 and 133.58

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Solution

The fourth proportional to 143.66, 214.39 and 133.58 is: 199.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    143.66 : 214.39 = 133.58 : x
  2. Step 2: Convert to fraction form
    143.66/214.39 = 133.58/x
  3. Step 3: Cross multiply
    143.66x = 214.39 × 133.58
  4. Step 4: Simplify right side
    143.66x = 28,638.22
  5. Step 5: Solve for x
    x = 28,638.22/143.66
  6. Step 6: Final answer
    x = 199.35

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