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Finding the Fourth Proportional to 212.47, 293.24 and 153.65

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Solution

The fourth proportional to 212.47, 293.24 and 153.65 is: 212.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    212.47 : 293.24 = 153.65 : x
  2. Step 2: Convert to fraction form
    212.47/293.24 = 153.65/x
  3. Step 3: Cross multiply
    212.47x = 293.24 × 153.65
  4. Step 4: Simplify right side
    212.47x = 45,054.93
  5. Step 5: Solve for x
    x = 45,054.93/212.47
  6. Step 6: Final answer
    x = 212.05

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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.