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Finding the Fourth Proportional to 212.30, 293.00 and 133.65

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Solution

The fourth proportional to 212.30, 293.00 and 133.65 is: 184.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    212.30 : 293.00 = 133.65 : x
  2. Step 2: Convert to fraction form
    212.30/293.00 = 133.65/x
  3. Step 3: Cross multiply
    212.30x = 293.00 × 133.65
  4. Step 4: Simplify right side
    212.30x = 39,158.78
  5. Step 5: Solve for x
    x = 39,158.78/212.30
  6. Step 6: Final answer
    x = 184.45

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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.