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Finding the Fourth Proportional to 212.23, 318.31 and 90.49

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Solution

The fourth proportional to 212.23, 318.31 and 90.49 is: 135.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    212.23 : 318.31 = 90.49 : x
  2. Step 2: Convert to fraction form
    212.23/318.31 = 90.49/x
  3. Step 3: Cross multiply
    212.23x = 318.31 × 90.49
  4. Step 4: Simplify right side
    212.23x = 28,803.87
  5. Step 5: Solve for x
    x = 28,803.87/212.23
  6. Step 6: Final answer
    x = 135.72

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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.