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Finding the Fourth Proportional to 212.68, 293.38 and 133.98

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Solution

The fourth proportional to 212.68, 293.38 and 133.98 is: 184.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    212.68 : 293.38 = 133.98 : x
  2. Step 2: Convert to fraction form
    212.68/293.38 = 133.98/x
  3. Step 3: Cross multiply
    212.68x = 293.38 × 133.98
  4. Step 4: Simplify right side
    212.68x = 39,307.05
  5. Step 5: Solve for x
    x = 39,307.05/212.68
  6. Step 6: Final answer
    x = 184.82

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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.