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Finding the Fourth Proportional to 212.40, 293.28 and 157.74

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Solution

The fourth proportional to 212.40, 293.28 and 157.74 is: 217.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    212.40 : 293.28 = 157.74 : x
  2. Step 2: Convert to fraction form
    212.40/293.28 = 157.74/x
  3. Step 3: Cross multiply
    212.40x = 293.28 × 157.74
  4. Step 4: Simplify right side
    212.40x = 46,261.99
  5. Step 5: Solve for x
    x = 46,261.99/212.40
  6. Step 6: Final answer
    x = 217.81

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.