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Finding the Fourth Proportional to 212.03, 317.70 and 114.54

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Solution

The fourth proportional to 212.03, 317.70 and 114.54 is: 171.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    212.03 : 317.70 = 114.54 : x
  2. Step 2: Convert to fraction form
    212.03/317.70 = 114.54/x
  3. Step 3: Cross multiply
    212.03x = 317.70 × 114.54
  4. Step 4: Simplify right side
    212.03x = 36,389.36
  5. Step 5: Solve for x
    x = 36,389.36/212.03
  6. Step 6: Final answer
    x = 171.63

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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.