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Finding the Fourth Proportional to 212.55, 293.19 and 183.16

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Solution

The fourth proportional to 212.55, 293.19 and 183.16 is: 252.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    212.55 : 293.19 = 183.16 : x
  2. Step 2: Convert to fraction form
    212.55/293.19 = 183.16/x
  3. Step 3: Cross multiply
    212.55x = 293.19 × 183.16
  4. Step 4: Simplify right side
    212.55x = 53,701.91
  5. Step 5: Solve for x
    x = 53,701.91/212.55
  6. Step 6: Final answer
    x = 252.66

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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.