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Finding the Fourth Proportional to 142.94, 212.97 and 133.63

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Solution

The fourth proportional to 142.94, 212.97 and 133.63 is: 199.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    142.94 : 212.97 = 133.63 : x
  2. Step 2: Convert to fraction form
    142.94/212.97 = 133.63/x
  3. Step 3: Cross multiply
    142.94x = 212.97 × 133.63
  4. Step 4: Simplify right side
    142.94x = 28,459.18
  5. Step 5: Solve for x
    x = 28,459.18/142.94
  6. Step 6: Final answer
    x = 199.10

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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.