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Finding the Fourth Proportional to 142.84, 212.74 and 142.16

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Solution

The fourth proportional to 142.84, 212.74 and 142.16 is: 211.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    142.84 : 212.74 = 142.16 : x
  2. Step 2: Convert to fraction form
    142.84/212.74 = 142.16/x
  3. Step 3: Cross multiply
    142.84x = 212.74 × 142.16
  4. Step 4: Simplify right side
    142.84x = 30,243.12
  5. Step 5: Solve for x
    x = 30,243.12/142.84
  6. Step 6: Final answer
    x = 211.73

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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.