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Finding the Fourth Proportional to 212.28, 292.51 and 150.18

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Solution

The fourth proportional to 212.28, 292.51 and 150.18 is: 206.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    212.28 : 292.51 = 150.18 : x
  2. Step 2: Convert to fraction form
    212.28/292.51 = 150.18/x
  3. Step 3: Cross multiply
    212.28x = 292.51 × 150.18
  4. Step 4: Simplify right side
    212.28x = 43,929.15
  5. Step 5: Solve for x
    x = 43,929.15/212.28
  6. Step 6: Final answer
    x = 206.94

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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.