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Finding the Fourth Proportional to 212.56, 293.22 and 157.18

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Solution

The fourth proportional to 212.56, 293.22 and 157.18 is: 216.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    212.56 : 293.22 = 157.18 : x
  2. Step 2: Convert to fraction form
    212.56/293.22 = 157.18/x
  3. Step 3: Cross multiply
    212.56x = 293.22 × 157.18
  4. Step 4: Simplify right side
    212.56x = 46,088.32
  5. Step 5: Solve for x
    x = 46,088.32/212.56
  6. Step 6: Final answer
    x = 216.82

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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.