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Finding the Fourth Proportional to 212.48, 318.80 and 174.20

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Solution

The fourth proportional to 212.48, 318.80 and 174.20 is: 261.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    212.48 : 318.80 = 174.20 : x
  2. Step 2: Convert to fraction form
    212.48/318.80 = 174.20/x
  3. Step 3: Cross multiply
    212.48x = 318.80 × 174.20
  4. Step 4: Simplify right side
    212.48x = 55,534.96
  5. Step 5: Solve for x
    x = 55,534.96/212.48
  6. Step 6: Final answer
    x = 261.37

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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.