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Finding the Fourth Proportional to 212.24, 317.64 and 171.76

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Solution

The fourth proportional to 212.24, 317.64 and 171.76 is: 257.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    212.24 : 317.64 = 171.76 : x
  2. Step 2: Convert to fraction form
    212.24/317.64 = 171.76/x
  3. Step 3: Cross multiply
    212.24x = 317.64 × 171.76
  4. Step 4: Simplify right side
    212.24x = 54,557.85
  5. Step 5: Solve for x
    x = 54,557.85/212.24
  6. Step 6: Final answer
    x = 257.06

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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.