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Finding the Fourth Proportional to 212.29, 317.86 and 120.52

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Solution

The fourth proportional to 212.29, 317.86 and 120.52 is: 180.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    212.29 : 317.86 = 120.52 : x
  2. Step 2: Convert to fraction form
    212.29/317.86 = 120.52/x
  3. Step 3: Cross multiply
    212.29x = 317.86 × 120.52
  4. Step 4: Simplify right side
    212.29x = 38,308.49
  5. Step 5: Solve for x
    x = 38,308.49/212.29
  6. Step 6: Final answer
    x = 180.45

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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.