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Finding the Fourth Proportional to 212.51, 292.96 and 150.15

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Solution

The fourth proportional to 212.51, 292.96 and 150.15 is: 206.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    212.51 : 292.96 = 150.15 : x
  2. Step 2: Convert to fraction form
    212.51/292.96 = 150.15/x
  3. Step 3: Cross multiply
    212.51x = 292.96 × 150.15
  4. Step 4: Simplify right side
    212.51x = 43,987.94
  5. Step 5: Solve for x
    x = 43,987.94/212.51
  6. Step 6: Final answer
    x = 206.99

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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.