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Finding the Fourth Proportional to 212.95, 293.82 and 154.02

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Solution

The fourth proportional to 212.95, 293.82 and 154.02 is: 212.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    212.95 : 293.82 = 154.02 : x
  2. Step 2: Convert to fraction form
    212.95/293.82 = 154.02/x
  3. Step 3: Cross multiply
    212.95x = 293.82 × 154.02
  4. Step 4: Simplify right side
    212.95x = 45,253.39
  5. Step 5: Solve for x
    x = 45,253.39/212.95
  6. Step 6: Final answer
    x = 212.51

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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.