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Finding the Fourth Proportional to 213.34, 318.46 and 184.64

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Solution

The fourth proportional to 213.34, 318.46 and 184.64 is: 275.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    213.34 : 318.46 = 184.64 : x
  2. Step 2: Convert to fraction form
    213.34/318.46 = 184.64/x
  3. Step 3: Cross multiply
    213.34x = 318.46 × 184.64
  4. Step 4: Simplify right side
    213.34x = 58,798.40
  5. Step 5: Solve for x
    x = 58,798.40/213.34
  6. Step 6: Final answer
    x = 275.61

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.