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Finding the Fourth Proportional to 142.93, 212.92 and 140.64

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Solution

The fourth proportional to 142.93, 212.92 and 140.64 is: 209.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    142.93 : 212.92 = 140.64 : x
  2. Step 2: Convert to fraction form
    142.93/212.92 = 140.64/x
  3. Step 3: Cross multiply
    142.93x = 212.92 × 140.64
  4. Step 4: Simplify right side
    142.93x = 29,945.07
  5. Step 5: Solve for x
    x = 29,945.07/142.93
  6. Step 6: Final answer
    x = 209.51

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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.