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Finding the Fourth Proportional to 212.35, 293.01 and 133.53

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Solution

The fourth proportional to 212.35, 293.01 and 133.53 is: 184.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    212.35 : 293.01 = 133.53 : x
  2. Step 2: Convert to fraction form
    212.35/293.01 = 133.53/x
  3. Step 3: Cross multiply
    212.35x = 293.01 × 133.53
  4. Step 4: Simplify right side
    212.35x = 39,125.87
  5. Step 5: Solve for x
    x = 39,125.87/212.35
  6. Step 6: Final answer
    x = 184.25

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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.