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Finding the Fourth Proportional to 212.18, 293.20 and 153.86

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Solution

The fourth proportional to 212.18, 293.20 and 153.86 is: 212.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    212.18 : 293.20 = 153.86 : x
  2. Step 2: Convert to fraction form
    212.18/293.20 = 153.86/x
  3. Step 3: Cross multiply
    212.18x = 293.20 × 153.86
  4. Step 4: Simplify right side
    212.18x = 45,111.75
  5. Step 5: Solve for x
    x = 45,111.75/212.18
  6. Step 6: Final answer
    x = 212.61

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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.