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Finding the Fourth Proportional to 210.60, 315.42 and 142.02

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Solution

The fourth proportional to 210.60, 315.42 and 142.02 is: 212.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    210.60 : 315.42 = 142.02 : x
  2. Step 2: Convert to fraction form
    210.60/315.42 = 142.02/x
  3. Step 3: Cross multiply
    210.60x = 315.42 × 142.02
  4. Step 4: Simplify right side
    210.60x = 44,795.95
  5. Step 5: Solve for x
    x = 44,795.95/210.60
  6. Step 6: Final answer
    x = 212.71

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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.