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Finding the Fourth Proportional to 210.78, 315.57 and 142.14

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Solution

The fourth proportional to 210.78, 315.57 and 142.14 is: 212.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    210.78 : 315.57 = 142.14 : x
  2. Step 2: Convert to fraction form
    210.78/315.57 = 142.14/x
  3. Step 3: Cross multiply
    210.78x = 315.57 × 142.14
  4. Step 4: Simplify right side
    210.78x = 44,855.12
  5. Step 5: Solve for x
    x = 44,855.12/210.78
  6. Step 6: Final answer
    x = 212.81

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.