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Finding the Fourth Proportional to 212.32, 317.68 and 125.33

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Solution

The fourth proportional to 212.32, 317.68 and 125.33 is: 187.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    212.32 : 317.68 = 125.33 : x
  2. Step 2: Convert to fraction form
    212.32/317.68 = 125.33/x
  3. Step 3: Cross multiply
    212.32x = 317.68 × 125.33
  4. Step 4: Simplify right side
    212.32x = 39,816.94
  5. Step 5: Solve for x
    x = 39,816.94/212.32
  6. Step 6: Final answer
    x = 187.53

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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.