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Finding the Fourth Proportional to 212.66, 293.16 and 162.89

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Solution

The fourth proportional to 212.66, 293.16 and 162.89 is: 224.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    212.66 : 293.16 = 162.89 : x
  2. Step 2: Convert to fraction form
    212.66/293.16 = 162.89/x
  3. Step 3: Cross multiply
    212.66x = 293.16 × 162.89
  4. Step 4: Simplify right side
    212.66x = 47,752.83
  5. Step 5: Solve for x
    x = 47,752.83/212.66
  6. Step 6: Final answer
    x = 224.55

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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.